-x+2y=6
7/2x+7y=14 solve with substitution

Answers

Answer 1

9514 1404 393

Answer:

  (x, y) = (-1, 5/2)

Step-by-step explanation:

The only variable with a coefficient that has a magnitude of 1 is x in the first equation. Using that equation, we can write an expression for x:

  x = 2y -6

This can be substituted for x in the second equation.

  (7/2)(2y -6) +7y = 14

  7y -21 +7y = 14 . . . . . . eliminate parentheses

  14y = 35 . . . . . . . . . . . add 21

  y = 35/14 = 5/2 . . . . . divide by the coefficient of y

  x = 2(5/2) -6 = -1

The solution is (x, y) = (-1, 5/2).


Related Questions

Factor the expression. 63 + 81

wrong answers reported

Answers

Answer:

144

Step-by-step explanation:

63+81=9(7+9)=9(16)=144

What is the answer of
n^2 + 41?​

Answers

Answer:

The expression is not factorable

When using substitution to solve systems of equations that have no solution or indefinitely many solutions, the variable terms are the same on both sides. How is the solution determined by the constants in the equations?

Answers

Answer:

e

Step-by-step explanation:

When using substitution to solve systems of equations that have no solution or indefinitely many solutions, the variable terms are the same on both sides. How is the solution determined by the constants in the equations?

Hold on, our servers are swamped. Wait for your answer to fully load.

does anyone have a private server on royal high I need the new set pls

Answers

Answer:

Nope but I hope you find one soon. -Your friend, Bill Cipher

Step-by-step explanation:

Answer:

I do!! My user is;  AngelCookiesSmiles. c:

Step-by-step explanation:

Jacksons kitty weighed 2 pounds and 3 ounces a month later the kitty weighed 56 ounces how much weight did the kitty gain in that month

Answers

Answer:

21 ounces

Step-by-step explanation:

2 pounds→ convert to ounces= 32

32 ounces+ 3 ounces= 35

56 ounces-35 ounces= 21 ounces

Answer:

21 ounces

Step-by-step explanation:

1 pound=16 ounces

16 x 2=32

32+3=35

56-35=21

can some please help me find the 4th term

Answers

Answer:

11

Step-by-step explanation:

C(4) = -7 + 6(4-1)

C(4) = -7 + 6 x 3 =

C(4) = -7 + 18

C(4) = 11

Hope that helps!

Ten years ago, Victor's age was half of the age he will be in 10 years. How old is he
now?

Answers

Answer:

It's the same

Step-by-step explanation:

Cause im smart

Present age of the Victor as per given condition of the equation formed is equals to [tex]30[/tex] years.

What is equation?

" Equation is defined as the relation between the variables and numbers using the sign of equality."

According to the question,

[tex]'x'[/tex] represents the present age of the Victor

[tex]'x+10'[/tex]  represents the age of the Victor 10 years now

[tex]'x-10'[/tex] represents the age of the Victor 10 years ago

As per condition given equation  we get,

[tex]x-10 = \frac{1}{2} (x+10)[/tex]

Simplify the equation to get the present age ,

[tex]2(x-10) = x+10\\ \\\implies 2x-20 = x+10\\\\\implies 2x-x = 20 +10\\\\\implies x =30[/tex]

Hence, present age of the Victor as per given condition of the equation formed is equals to [tex]30[/tex] years.

Learn more about equation here

https://brainly.com/question/10413253

#SPJ2

Stickers are made with the same ratio of width to length. A sticker 2 inches wide has a length of 10 inches. Complete the table.

Answers

x = width, y = length

x = 1, y = 5

x = 2, y = 10

x = 3, y = 15

x = 4, y = 20

x = 5, y = 25

Identify the area of the polygon that has vertices T(−3,1), S(−5,−4), A(−8,1), and N(−4,5)

Answers

Answer:

22.5

Step-by-step explanation:

The area of the polygon ABCD is 3/2 square units.

What is polygon?

"It is two dimensional geometric figure having finite sides and vertices." A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.

here, we have,

we know that,

formula to find the area of the polygon:

"If polygon having vertices (x1, y1), ....(xn,yn) then the area of the polygon is,

A = 1/2 * | (x1y2 - x2y1) + ( x2y3 - x3y2) + .....+ (xny1 - ynx1)

This formula is also known as shoelace formula."

For given example,

the polygon  has vertices T(−3,1), S(−5,−4), A(−8,1), and N(−4,5)

Consider given vertices of polygon as,

(x1, y1) = (−3,1)

(x2, y2)=(−5,−4)

(x3, y3)=(−8,1)

(x4, y4)=(−4,5)

Using the formula of area of the polygon the area of the polygon ABCD would be,

A = 1/2 * | (x1y2 - x2y1) + ( x2y3 - x3y2) + .....+ (x4y1 - y4x1)

so, solving we get,

A = 1/2 | 17 + 27 - 36 -11|

A = 3/2

Therefore, the area of the polygon ABCD is 3/2 square units.

Learn more about the area of the polygon here:

brainly.com/question/22590672

#SPJ2

Please help! I will give Brainly (don’t know how to spell the word)

20% of Ms. Royal's students came to class late. If 3 students came late to
class, how many students does Ms. Royal have in her class?

Answers

Answer:

15 students

Step-by-step explanation:

i just used multiplication

Answer:

15 students

Step-by-step explanation:

20% is 1/5

So is 3 is 1/5 you multiply 3 by 5 (since 1/5 is 3 and to find 5/5 its you need a full 5/5)

3*5 = 15

Write the equation of the line, in slope-intercept form, through the
following two points:
(-14, 17)
(-10, 41)

Answers

Answer:

y=6*x+101

Step-by-step explanation:

Slope intercept form is y=mx+n, where m is the slope and n is the intercept.

Substituing in that equation the two points we get two different expressions. Now we have to solve a 2x2 system of equations.

I decide to solve it through substraction (literally one expression minus the other). That way we cancel out the n and obtain the value of m.

Now that we have m we plug in the value of m in one of the expressions to obtain the value of n.

To express the final equation we just plug in the values of m and n in the expression y=mx+n!

Answer:

y=6*x+101

Step-by-step explanation:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Hope this will helps

i need help asap

please

Answers

Answer:

E.)  II, III

Step-by-step explanation:

She can only make one type and the chocolate chips use more than two cups of flour. And oatmeal and sugar use less than or equal to two cups for both and make the same amount.

HELPPPP DUE IN 15 MINS!!!!
Triangles ABC and DEF are similar. Find x.

Answers

Answer:

8.57

Step-by-step explanation:

We can calculate the value of x using similarity ratio

11/7 = (15 + x)/(15) cross multiply expressions

105 × 7x = 165 subtract 105 from both sides

7x = 60 divide both sides by 7

x = 8.57 approximately

Lauren has twelve more than six times as many pencils as her sister. Which expression represents the number of pencils that Lauren has if the variable p represents the number of pencils that her sister has?

Answers

Answer:

Sister: p

Lauren: 12 + 6p

I will mark you as the brainiest if you get this correct
Thx so much xxx

Answers

Answer:

30:24

Step-by-step explanation:

5 + 4 = 9

Divide 54 by 9

Then Multiply by 6.

Hope it helped.

Which precautions protect online data?
Choose exactly 3 answers that are correct.

using a password manager

getting permission from adults before filling out information online.

turning off the computer

avoiding clicking on links from unfamiliar e-mail messages

Answers

Using password manager, getting permission from adults and avoiding clicking on links.

3 divided by 8. What is the dividend?

Answers

Answer:0.375

Step-by-step explanation:

What is the dividend? the question

The answer is 2.666
Hopefully it’s right :)

Solve 3x^2+4=436
Please solve step by step

Answers

Answer:12

Step-by-step explanation:

Your goal with variables should always be to isolate them.

so the first step is to subtract the 4

3x^2+4=436

       -4= -4

3x^2=432

The next step to isolate the variable x is to get rid of the 3. To get rid of the 3 you have to divide both sides by 3 since it is the opposite of multiplying.

3x^2=432

/3.    =/3

x^2=144

the last step to isolate the x is to do the opposite of what an exponent is, which is to find the square root. So when you square the x^2, the exponent cancels out.

square root of x^2=x

square root of 144=12

x=12

hope this helps!

Write an equation of the line with a slope of 23and y-intercept of −8.
y=

Answers

Answer:

y=23x-8

Step-by-step explanation:

Use the formula y=mx+b

y-intercept is b which is -8

the slope is m which is in this case 23

Easy peasy!

~
ROB = PTA
True or false

Answers

Answer:

true

Step-by-step explanation:

The answer would be true

3x - 12 = 3x + 1
help please

Answers

Answer:

There's no solution to this equation, when 2 equations have the same slope but different y-intercepts, they're parallel. This means they never intercept and there is NO solution and we can't solve for x.

Paul and Lisa go to a pie shop. Paul bought
A small pie. Emily bought a large pie. They both
Cut their pies into six slices and ate one slice.
Paul told Lisa that she ate more pie than he
did. Lisa said they both ate the same because they
both ate 1/6 of their pies? Who's right? Explain.

Answers

Answer:

bro i do not know what to say

Step-by-step explanation:

9. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!


Write a rule for the linear function in the table.



A. f(x) = 4x


B. f(x) = 4 – x


C. f(x) = x – 4


D. f(x) = x + 4

Answers

9.) Answer: B. f(x) = 4 - x



Explanation/Proof:

If we substitute, the answers are correct.

f(x) = 4 - (1)

f(x) = 3 ✅


f(x) = 4 - (2)

f(x) = 2 ✅


And so on and so forth.

B. f(x) = 4 - x
explanation:
what the other person said :)

5 movie tickets cost $55. At this rate, what is the cost per ticket?
Please help i really need it

Answers

Answer:

11

Step-by-step explanation:

55/5 equals 11

Answer:

11

Step-by-step explanation:

55 divided by 5 equals 11

2(4x - 7)
What’s the answer

Answers

Answer:

[tex]8x - 14[/tex]

Step-by-step explanation:

1. expand by distributing terms.

[tex]2 \times 4x + 2 \times - 7[/tex]

2. Simplify 2 × 4x to 8x.

[tex]8x + 2 \times - 7[/tex]

3. Simplify 2 × -7 to -14.

[tex]8x - 14[/tex]

Therefor, the answer is, 8x - 14.

A.
18 cm
B.
40 cm
C.
20 cm
D.
36 cm

Answers

Answer:

C

Step-by-step explanation:

108/(108-72) = 108/36 = 3

60/3 = 20

✨✨ Easy points for those who are good at math ✨✨
(Ignore the one selected it won’t let me unselect it)

Answers

Answer:

y=2/13

Step-by-step explanation:

Answer:

Its the third option from the top. y=-2/13x-40/13

Step-by-step explanation:

You do the maths.

They made $835 in ticket sales

145 people bought tickets

child tickets were $4
adult tickets were $7

how many of each type ticket was sold

Answers

60 adult tickets and 85 in child tickets

Mo spends £15 on ingredients to make 40 cookies.
He sells all 40 cookies for 50p each.
Work out Mo’s percentage profit.

Answers

first you times 40 by 0.5 = £20
£20 - £15 = £5
therefore £5 profit

Chris borrows £6000 at a simple interest rate of 10% per year.
He pays the money back after 4 years.
How much does he pay back in total?

Answers

9514 1404 393

Answer:

  £8400

Step-by-step explanation:

The amount due after t years is ...

  A = P(1 +rt)

  A = £6000(1 + 0.10·4) = £6000·1.40

  A = £8400

Chris pays back £8400 in total.

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