4x + 2y = 6
x-y=3
What’s the value of the x variable in this solution?

Answers

Answer 1

Hello!

[tex]\large\boxed{x = 2}[/tex]

Solve the system using substitution:

We can rearrange the second equation to find an expression for y:

x - y = 3

Subtract x from both sides:

-y = -x + 3

Multiply the equation by -1:

y = x - 3

Substitute this value of y into the first equation:

4x + 2y = 6

4x + 2(x - 3) = 6

Distribute:

4x + 2(x) + 2(-3) = 6

Simplify and combine like terms:

4x + 2x - 6 = 6

6x = 12

6x / 6 = 12 / 6

x = 2.

Answer 2

Answer:

y = -1

Step-by-step explanation:

x - y = 3

x = 3 + y

4x + 2y = 6

substitute x for 3 + y

4(3+y) + 2y = 6

open the parenthesis

12 + 4y + 2y = 6

12 + 6y = 6

subtract 12 from both sides of the equation

12 - 12 + 6y = 6 - 12

6y = 6 - 12

6y = -6

divide both sides of the equation by 6

6y/6 = -6/6

y = -6/6

y = -1


Related Questions

What is the equation of the line that passes through the point (-8, 5) and has a slope of -1/4

Answers

Answer:

Step-by-step explanation:

Step one.

Read the slope

-1/4

Step two

Put the slope in the general equation

y = mx + b

y = -1/4 x + b

Step 3

Put the point into the equation from step 2

(-8,5)

5 = -1/4  -8   + b

5 = 2 + b                   Subtract 2 from both sides

5-2 = b

b = 3

Step 4

Write the entire equation

y =   -1/4 x + 3

A bus makes a stop at 2:30, letting off 11 people and letting on 5. The bus makes another stop ten minutes later to let off 3 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?

Answers

Answer:

Answer down below Branliest Please

Step-by-step explanation:

FIND THE SOLUTIONNNNNNNN

Answers

Answer:

1. (2,2) 2. (4,1)

Step-by-step explanation:

Solve by graphing both equations. Where the two equations meet, there is a solution.

Step-by-step explanation:

1)2,2

2)4,1

that's answers to your question

Tickets to a band concert cost $10 each. The equation y = 10x represents total cost, y, of x tickets. Which graph shows ordered pairs represented by this equation?

Answers

Answer:

the right-hand graph of the first diagram represents ordered pairs which are satisfied by the equation.

The correct graph is attached below.

Step-by-step explanation:

Given the function equation

y = 10x

Given that the cost of each ticket is $10.

It means:

at x = 0, y = 10(0) = 0                ∵ cost of 0 ticket

at x = 1, y = 10(1) = 10                 ∵ cost of 1 ticket

at x = 2, y = 10(2) = 20               ∵ cost of 2 tickets

at x = 3, y = 10(3) = 30                ∵ cost of 3 tickets

at x = 4, y = 10(4) = 40                ∵ cost of 4 tickets

at x = 5, y = 10(5) = 50                 ∵ cost of 5 tickets

Now, observe the ordered pairs points on the right-hand graph of the first diagram.

This graph has the following ordered pairs:

(0, 0)     i.e. at x = 0, y = 10(0) = 0(1, 10)     i.e. at x = 1, y = 10(1) = 10           (2, 20)   i.e. at x = 2, y = 10(2) = 20   (3, 30)   i.e. at x = 3, y = 10(3) = 30    (4, 40)   i.e. at x = 4, y = 10(4) = 40  (5, 50)   i.e. at x = 5, y = 10(5) = 50

Thus, the right-hand graph of the first diagram represents ordered pairs which are satisfied by the equation.

The correct graph is attached below.

Answer:

the 3rd Option

Step-by-step explanation:

i did this 6 years ago

Given a term of 7 and a common difference of -2 give the arithmetic sequence

Answers

Answer:

7, 5, 3, 1, ...

Step-by-step explanation:

7, 5, 3, 1, ...

The rule for this arithmetic sequence is -2n + 9

PLEASE HELP
(07.06 MC)

What is the solution to the equation fraction 3 over 5 n minus fraction 4 over 5 equals fraction 1 over 5 n?

n = fraction 5 over 2

n = −1

n = fraction 5 over 3

n = 2

Answers

9514 1404 393

Answer:

  n = 5/3

Step-by-step explanation:

Eliminate fractions, add 4, divide by the coefficient of n.

  [tex]\dfrac{3}{5} n-\dfrac{4}{5}=\dfrac{1}{5}\\\\3n-4=1 \qquad\text{multiply by 5}\\\\3n=5 \qquad\text{add4}\\\\\boxed{n=\dfrac{5}{3}} \qquad\text{divide by 3}[/tex]

Simplify x^2-3x-10/x+2
A. X-5; where x≠-2
B. X-5; where x≠5
C. 1/x-2; where x≠2
D. X-2

Answers

It’s is D because D. X-2 is 3089

A photo of an ant in a science book is increased to 618% as large as the actual size. If the ant is 15 millimeter, what is the size of the ant in the​ photo?

Answers

Answer:

92.7?????

Step-by-step explanation:

The ratio of pens to pencils on Mr. Adobe's desk is 3:5. If the same ratio is true for all the pers and pencils in robe's car, what's
the number of pens if there are 60 pencils in the dassroom?
12 pens
96 pens
36 pens
100 pens

Answers

Answer:

its 36 because i said so

Step-by-step explanation:

becuase i am papi

Please help
Much appreciated ​

Answers

Answer:

x^2 -10x+25

Step-by-step explanation:

(x-5)^2

Rewriting

(x-5)(x-5)

FOIL

first: x*x = x^2

outer: x* -5 = -5x

inner: -5*x = -5x

last: -5 * -5 = +25

Add them together

x^2 -5x-5x+25

Combine

x^2 -10x+25

Answer:

x^2 - 10x + 25

Step-by-step explanation:

Use FOIL.

(x - 5)^2 = (x - 5)(x - 5) = x^2 - 5x - 5x + 25 = x^2 - 10x + 25

Need help ASAP! Will mark brainliest!!!!!

Answers

Answer:

The answer is B, 13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

4x=52 because they are vertical angles so are congruent

x=52/4=13

Marla invested $78,170 in a simple interest account. After 9 years and no additional deposits or withdrawals, the account balance was $150,606.59. Find the interest rate for the account.

Answers

Answer:

10% interest

Step-by-step explanation:

150,606.59 - 78,170 = 72,436.59

72,436.59 / 9 = 8,048.51

8,048.51 / 78,170 = 0.1029... = 10%

lily likes to collect records. Last year she had 4 records in her collection. Now she has 7 records. What is the percent increase of her ​collection?

Answers

Answer:

75% increase

Step-by-step explanation:

First we need to figure out how many new records she got this year...

7-4 = 3 new records.

Now, we need to know how many times 4 goes into 100%....

100 ÷ 4 = 25%

This tells us that a single record this year is a 25% increase.

Now, we multiply 25% by 3 to get 75% as our final answer

Hope this Helps!!! :)

Let me know if I should change anything or if the answer was perfect!

Tony bought a sweatshirt with an orginal price of $48 and he used a coupon for a 20% discount. How much Did tony pay ?

Answers

Answer:

$38.40

Step-by-step explanation:

Answer:

$38.40

Step-by-step explanation:

please I really need help
correct answer=branliest
1-more than/less than/the same as
2-greatest x -value/x-intercept/y-intercept/slope
3- greater than/less than/equal to
4-greatest x -value/x-intercept/y-intercept/slope
5-dollars per ounce/ounces per dollar​

Answers

Answer:

Gold is LESS expensive than platinym because SLOPE of graph is LESS

SLOPE gives UNIT DOLLARS PER OUNCE.

Step-by-step explanation:

sorry im late

CORRECT ANSWER GETS BRAINLIEST

What percentage of the block is shaded in?

Answers

Answer:

7/10ths

Step-by-step explanation:

There are ten blocks all together, which is where the 10 comes from, there is 7 shaded that is where the 7 comes from.

Answer:

The percentage is 70%.

Step-by-step explanation:

There are 10 spaces total, and 7 are shaded in. 7 divided by 10 is 0.7.

0.7 as a percentage is 70%.

So 70% of the block is shaded in.

Brainliest!!! 5 stars!!!! Thanks!!!

Answers

Answer: 11 . 5.65 (6)

12 14.1

Step-by-step explanation:

Answer:

Hey... Im zoribelle

Step-by-step explanation:

If two angles are supplementary and one of the angles measures 62°, what is the measure of the other angle?

Answers

Answer:118 for the other angle

Step-by-step explanation:trust me bro

Given that a triangle equals 180 we can subtract 62 from that. After that we will get the answer 118 we want to divide this by 2 because the remaining sides are supplementary this gives us the answer of “59”

What is y-intercept for the line y=8x+21

Answers

Change Y to 0.

y=8x+21

0=8x+21

-8x=21

[tex]x=\frac{21}{-8\\}[/tex]

Please please please please help ASAP I will give the brain thing if you have a correct answer + explain :)

Answers

Answer:

11

Step-by-step explanation:

every ratio is been multiplied for eleven si if we know this we can tell that

1 times 11= 11

Answer:

11

Step-by-step explanation:

Just times the things by 11, 5 times 11 is 55, 10 times 11 is 110, and 20 times 11 is 220, so 1 times 11 is 11 so 11 is the answer.

CAN I GET BRAINLLEST NOW!!!!!!!!!!!?????????????

PLEASE  

(○’ω’○)⊙_⊙-_-||囧rz◑﹏◐(?_?)(T_T)O_o::>_<::^O^-_-z(ToT)o_O

7.
NOT TO
SCALE
8.
Р
С
B
In the diagram. PQ is parallel to BC.
APB and AQC are straight lines.
PQ = 8 cm, BC = 10 cm and AB = 9 cm.
Calculate PB​

Answers

Answer:

PB = 1.8

Step-by-step explanation:

PQ = 8 cm, BC = 10 cm and AB = 9 cm

∆ABC is similar to ∆APQ.

Therefore:

[tex] \frac{AB}{AP} = \frac{BC}{PQ} [/tex]

Plug in the values

[tex] \frac{9}{AP} = \frac{10}{8} [/tex]

Cross multiply

AP × 10 = 8 × 9

AP × 10 = 72

Divide both sides by 10

AP = 7.2

PB = AB - AP

PB = 9 - 7.2

PB = 1.8

at the beginning of april, colony of ants has a population of 5,000. During april, the colony decreases by 1/6 of its population. How many ants are there left at the end of april? approximate your answer as an integer(it would not make sense to have 2.5 ants). 5,000

Answers

Answer:

4166 ants

Step-by-step explanation:

To find how many ants were left, multiply 5000 by 5/6, since it decreased by 1/6:

5000(5/6)

= 4166.67

Round this down:

= 4166

So, at the end of April, there were approximately 4166 ants left

The required number of ants left at the end of April is given as 4167 ants.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let the number of ants at the end of April be x,
According to the question,

Number of  ants left = total ants - decreased number of ants
x = 5000 - 1/6[5000]
x = 5000[1 - 1/6]
x = 5000[5/6]
x = 4166.67
x = ≈ 4167


Thus, the required number of ants left at the end of April is given as 4167 ants.

Learn more about models here:
https://brainly.com/question/22591166
#SPJ2

which relation is NOT a function?​

Answers

Answer:

The relation represented by diagram 4 is NOT a function.

Step-by-step explanation:

To tell if a relation is not a function, pay attention to the x-intercepts. If there is more than one y-intercept with the same x-intercept, then it is not a function, because a function can only have one output (y-value) for each input (x-value).

According to the fourth diagram, the domains include 1, 2, and 3 while the range includes A, B, and C. Also, the ordered pairs would go as follows according to the arrows:

(1, A), (2, A), (2, B), (3, C)

While the y-values, A and B, are different, they share the same input, 2. Therefore, the relation represented by the 4th diagram is NOT a function.

Hope this helps!

f(x) = x2 – 2x + 5
.
What is the value of f(12) ?
f(12) =

Answers

The value of f(12) is 5, f(12)=5

Solve the following
equation for X.

3x - 15 = -30

Answers

Answer:

X = -5

Step-by-step explanation:

3x - 15 = -30       You want to isolate tha variable

3x= -30+15    Add 15 to -15 in order to get rid of it. All you do to one side you do to the other, so you add 15 to 30

3x= -15    

x= -15÷3   Divide x by 3 in order to get rid of the 3. Do it to the other side

x=-5  

Find x
X=
Can someone pls help

Answers

Answer:

x=10

Step-by-step explanation:

3x+10=6x-20 Set the angles equal to each other b/c they are alt. int. angles.

-3x       -3x Subtract by 3x on both sides to get x by itself

----------------

+10    =3x-20

+20         +20 Add 20 to both sides to get x by itself

---------------------

30    =3x

/3        /3 Divide both sides by 3 to get x by itself

-------------

10    =x

x=10 Write x first.

What is the image point of (-4,2) after a translation left 5 units and down 3
units?

Answers

Answer: (-9,-1)

Step-by-step explanation:

Solve the system of linear equations below by substitution.

x + y = 5

2x - y = 7
Answer choices

(3, 2)

(2, 3)

(1, 4)

(4, 1)

Answers

Answer:

4,1

Step-by-step explanation:

x+y=5 2x-y=7

x=5-y 2(5-y)-y=7

10-2y-y=7

10-3y=7

10-7=3y

3=3y

1=y

substitutes y=1 in x+y=5

x+1=5

x=5-1

x=4

(4,1)

check:

x+y=5

4+1=5

Need help I’m in class lol but please thanks

Answers

Answer:

[tex]4\frac{3}{8}[/tex]

Step-by-step explanation:

subtract [tex]19\frac{1}{8}[/tex][tex]-14\frac{3}{4}[/tex]

Hope this helps!

Can I get some help? I will be giving brainliest!
Find the slope of each piece of the antler on the graph below. Write answers in the simplest form into the table.

Answers

Answer:

1.) slope = 2

2.) slope = [tex]-2\frac{2}{3}[/tex]

3.) slope = [tex]\frac{2}{3}[/tex]

4.) slope = [tex]\frac{1}{4}[/tex]

5.) slope = [tex]1\frac{8}{9}[/tex]

6.) slope = -2

7.) slope = -3

Step-by-step explanation:

In order to find the slope we have to divide they "y" value (the number of units by which the piece of antler goes up) by the "x" value the number of units by which the piece of antler goes to the side). Notice the if the antler moves to the left as it foes up then the "x" value is negative.

Now as I said before we know this......

Let "m" be the slope, then....

[tex]m = \frac{y}{x}[/tex]

So now we just have to plug in the y and x values for each antler and we will get the slopes for each one of them.

1.)

[tex]m = \frac{y}{x}[/tex]

[tex]m= \frac{4}{2}[/tex]

[tex]m = 2[/tex]

2.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{4}{-1.5}[/tex]

[tex]m = -2\frac{2}{3}[/tex]

3.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{2}{3}[/tex]

4.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{1}{4}[/tex]

5.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{8.5}{4.5}[/tex]

[tex]m = 1\frac{8}{9}[/tex]

6.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{2}{-1}[/tex]

[tex]m= -2[/tex]

7.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{3}{-1}[/tex]

[tex]m = -3[/tex]

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