Solve each of the following system of equations by substitution!!!

x-5y=-49
y=-2x+1

Answers

Answer 1

Answer:

x = -4, y = 9

or

(-4, 9)

Step-by-step explanation:

x - 5y = -49

y = -2x + 1

substitute y for -2x + 1

x - 5(-2x + 1) = -49

x + 10x - 5 = - 49

add 5 to both sides

x + 10x - 5 + 5 = - 49 + 5

x + 10x = -44

11x = -44

divide both sides by 11

11x/11 = -44/11

x = -4

substitute x for -4 in any of the original equations

y = -2x + 1

y = -2 * -4 + 1

y = 8 + 1

y = 9

Answer 2

Answer:

x = -4, y = 9 or (-4,9)

Step-by-step explanation:

.....


Related Questions

Hiro painted his room. After 3 hours of painting at a rate of 8 meters per hour, he head 28 square meters left to paint.

Answers

Answer:

3 hours x 8 meters = 24 meters + 28 meters = 52 meters

52 / 3 = 17 and 1/3 hours.

Brainiest plz?   :)

can someone plz help

Answers

Answer:

x=16

Step-by-step explanation:

Solve the system by substitution y = -6x and -2x-7y=40

Answers

Answer:

x=4 y=8

Step-by-step explanation:

Nate needs 250 tickets to get the prize he wants at the arcade. He already has 73 tickets and can earn 15 tickets each time he plays an arcade game. How many games will he have to play in order to have enough tickets to win the prize he wants?

Answers

Answer:

12

Step-by-step explanation:

250-73= 117//117/12=11.8, but you cannot play a fraction of a game which rounded is 12

Answer:

12

Step-by-step explanation:

A 7 cm x 5 cm rectangle sits inside a circle with radius of 6 cm. What is the area of the shaded region? Round your final answer to the nearest hundredth. 7 cm 6 cm 5 cm​

Answers

Answer:

78.1 cm^2

Step-by-step explanation:

Pi r^2= area of circle

3.14 x 6^2= 113.1

b x h = area of rectangle

5 x7 =35

113.1 - 35= 78.1

How do I find x in this question?

Answers

Answer:

x = 8

Step-by-step explanation:

By Basic Proportionality Theorem:

[tex] \frac{3}{x - 2} = \frac{x}{x + 8} \\ \\ x(x - 2) = 3(x + 8) \\ \\ {x}^{2} - 2x = 3x + 24 \\ \\ {x}^{2} - 2x - 3x - 24 = 0 \\ \\ {x}^{2} - 5x - 24 = 0 \\ \\ {x}^{2} - 8x + 3x - 24 = 0 \\ \\ x (x - 8) + 3(x - 8) = 0 \\ \\ (x - 8)(x + 3) = 0 \\ \\ x - 8 = 0 \: \: or \: \: x + 3 = 0 \\ \\ x = 8 \: \: or \: \: x = - 3 \\ \\ \because \: length \: can \: not \: be \: - ve \\ \\ \implies \: x \neq - 3 \\ \\ \implies \: x = 8[/tex]

At the mall in Miami, Roberto found a jacket he liked. The normal price was $120, but the jacket was on sale for 40% off. If Roberto has $50 to spend, does he have enough to buy the jacket? If not, how much more money does he need?

Answers

Answer: No,   He will need $22 to add to his money to  buy jacket.

Step-by-step explanation:

Normal price  of jacket =$120,

New price = 40% off  which means 40% Less than the Normal price

 = 40/ 100 x 120

=0.4 x 120 = 48; 120 -48= $72

New Price = $72

Therefore Roberto with $50 to spend does not have enough to buy the jacket

He will need $72- $50 =$22  to add to his money to  buy jacket.

Solve each system of equations algebraically

y=x+2
y=-3x​

Answers

Answer:

Your answer is: (-1/2, 3/2)

Step-by-step explanation:

y = x + 2

y = -3x

Use substitution by plugging the second equation into the first.

-3x = x +2

Subtract x from both sides to combine the variables.

-4x = 2

Divide both sides by -4 to isolate the variable x.

x = 2/-4

Simplify.

x = -1/2

Plug x into one of the equations to find y.

y = (-1/2) + 2

y = 3/2

Plug x into the other equation to confirm your answer.

y = -3(-1/2)

y = 3/2

Your answer is: (-1/2, 3/2)

I’m confused about this question

Answers

angle B is 102° bc 180-78=102 and if sides DB and BC are congruent, angles D and C must also be, so you can use the original 78 and divide by 2 to get 39° for angle C

Zainab has 25 beads.
She gives 6 of the beads to Lucy.
What fraction of the 25 beads does Zainab have now?
Give your answer in its simplest form.

Answers

It should just be 19/25, Hope this helped :)

Answer:

19/25 it cant simplified

Step-by-step explanation:

Need help with this.​

Answers

Answer:

try restart it and charge it to the max and then try change the internet source likeopen hotspot and see

for each ordered pair determine whether it is a solution to 4x-7y=19

Answers

Answer:

No Solution

Step-by-step explanation:

all the ordered pair doesn't satisfy the equation.

Lawrence deposits 512$ in saving account that earns 1.5% commission how much money would be in his account after 2 years

Answers

Answer:

$519.68

Step-by-step explanation:

(512$ × 1.5)/100

=$7.8

512$+ $7.8

= $519.68

HELP ME ASAP
Which of the following articles would most benefit from a problem and solution organization pattern?

An article explaining your ideas on how to best rescue endangered loggerhead turtle eggs
An article comparing the loggerhead turtle rescue efforts on different beaches
An article discussing the life span of the loggerhead turtle
An article explaining why the loggerhead turtle is an endangered species

Answers

Answer:

An article explaining your ideas on how to best rescue endangered loggerhead turtle eggs

Step-by-step explanation:

In the problem and solution organization pattern, it is all about the ability to determine the problems affecting the organisation as well as proffer solutions on how to solve those problems. This would then lead to minimizing cost and maximizing profits. The example above which is about ideas on how to rescue endangered loggerhead turtle eggs is following same pattern.

Please help if possible :)

Answers

THE ANSWER IS: 16

since N is the incenter,
ND = NE = NF

set the two equations equal to each other
solve for x
plug back x into one of the equations

PLEASE HELP ME
PLEASE I WILL GIVE 25 point IF IT IS RIGHT!!

Answers

You take 240 divie it by 2 which is 120 and that should be your answer

What is the value of x? Enter your answer in the box.

Answers

i think it’s 22, not sure tho

I forgot how to find a function in a graph ​

Answers

Answer:

This graph is NOT a function.

Step-by-step explanation:

A graph is a function only if there is exactly one y-value for every x-value. In this case, there are many x-values that have two y-values, making this graph not a function.

Let me know if this helps!

3a + 7 + 2(3 + a)
[tex]what \: is \: anwser[/tex]

Answers

Answer:

5a + 13

Step-by-step explanation:

3a + 7 + 2(3 + a)

3a + 7 + 6 + 2a

5a + 13

i’m almost positive it would be 5a+13

Please help me with this homework

Answers

Step-by-step explanation:

a)20.52 approximately

b) 36.9 approximately

c)5.49 approximately 5.5

d)14.9 approximately 15

What is this number in standard form?

(5×1,000)+(7×10)+(8×1)+(4×110)+(1×11,000)

Answers

Standard form of given expanded form of a number is 16518.

What is meant by expanded form?

The expanded form of the number is the splitting of numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousand, and so on. The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number.

Given

Expanded form = (5×1,000)+(7×10)+(8×1)+(4×110)+(1×11,000)

We have to convert the expanded form into standard form

= 5000 + 70 + 8 + 440 + 11000

= 16518

Thus, standard form of given number is 16518.

Find out more information about expanded form here

https://brainly.com/question/1637442

#SPJ3

Answer:

16,518

(or  1.6518 x 10⁴)

Step-by-step explanation:

Expanded form:  The digits of a number are split into individual digits based on their place value.  Each digit of a number can be written in  multiple of 1, 10, 100, 1000, etc.

Standard form:  The combination of digits written together as a single number.

The given number is not quite, but almost, written in expanded form:

(5 × 1,000) + (7 × 10) + (8 × 1) + (4 × 110) + (1 × 11,000)

For it to truly be written in expanded form, the (4 × 110) would be written as (4 × 10) + (4 × 100) and the (1 × 11,000) would be written as either (11 × 1,000) or (1 × 10,000) + (1 × 1,000).

If the number should be written in standard form as defined above, carry out the operations in the parentheses, then add them together:

[tex]\large\begin{array}{l c r}8 \times 1 & = & 8\\7 \times 10 & = & 70\\4 \times 110 & = & 440\\5 \times 1000 & = & 5000\\1 \times 11000 & = & 11000\\\cline{3-3}& & 16518\end{array}[/tex]

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

However, in math there is another type of Standard Form (also called "Scientific notation") that is written in the form of [tex]a \times 10^n[/tex], where  [tex]1\leq a < 10[/tex]  and  [tex]n[/tex] is any positive or negative whole number.

To convert a number into standard form, move the decimal point to the left or right until there is one digit to the left of the decimal point.

The number of times you have moved the decimal point is the power of 10 ([tex]n[/tex]).

If the decimal point has moved to the left, the power is positive.

If the decimal point has moved to the right, the power is negative.

To convert 16518 into standard form:

Move the decimal point 4 places to the left and multiply by 10 to the power of the number of places the decimal was moved (4):

1.6518 x 10⁴

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

**I have provided both standard forms, as it is not clear from the question which is required.**

The cost of renting a bowling alley for a party is $110, plus $5 a person for food. Which equation can be used to find the total cost, C, of a party at a bowling alley for x friends?

Answers

Answer:

c=110+5x

Step-by-step explanation:

The equation that represents the total cost is C = 5x + 110.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expense of leasing a bowling alley for a party is $110, in addition to $5 an individual for food.

Let 'C' be the total cost and 'x' be the number of friends. Then the equation is written as,

C = 5x + 110

The equation that represents the total cost is C = 5x + 110.

More about the Algebra link is given below.

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If Isabelle chooses to read 5 books
with a total of 1260 pages, how much would she earn? And also I need the equation someone help I have to submit it by 10:30 :(

Answers

Answer:

I really don't know I just wanna know to

Find the probability of rolling a 3 when you toss two fair 6-sided dice and add the result from each die.

Answers

Answer:

would it be 2/12 or 1/6 of a chance of getting a three

Which of the following is a common denominator of 3/4 and 1/5
a.35
b.20
c.15
d.30

Answers

Answer:

b.20

Step-by-step explanation:

brainliest please

Answer:

The answer is 20

Step-by-step explanation:

a line that has (1,0) and (1,7) as endpoints​

Answers

What’s the question

help Video
What is an equation of the line that passes through the points (2, 2) and (-2,8)?

Answers

y= -3x\2 + 5 hope this helped :))
The slope is m=-3/2
y-2=-3/2(x-2)
y-2=-3/2x+3
y=-3/2x+5

Solve the system of linear equations using Substitution
5x + 2y= 9
y = -x-3

Answers

Answer:

(5, -8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

5x + 2y = 9

y = -x - 3

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                 5x + 2(-x - 3) = 9[Distributive Property] Distribute 2:                                                                5x - 2x - 6 = 9Combine like terms:                                                                                        3x - 6 = 9[Addition Property of Equality] Add 6 on both sides:                                   3x = 15[Division Property of Equality] Divide 3 on both sides:                                 x = 5

Step 3: Solve for y

Define original equation:                                                                                y = -x - 3Substitute in x:                                                                                                 y = -5 - 3Subtract:                                                                                                          y = -8

p-(p-q)-q-(q-p)

can any one write down the answer with explanation I'll also mark brainliest​

Answers

Ans:
p - (p - q) - q - (q - p)

= p - p + q - q - q + p

= - q + p


Notes:

- x - = +

+ x - = -

- x + = -

+ x + = -


‘+’ means a positive number
‘-’ means a negative number
‘x’ means times

Hope it helps:)

any help *more than one answer*

Answers

Answer:the first one and the fourth one

Step-by-step explanation:

the 1 and 4 one no thing else ... ! no cap
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