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3 years ago

Simplify the following expression.

Mathematics

2 answers:

pishuonlain [190]3 years ago

4 0

Answer:
(40x + 58y) + (-7x + 34y)

33x + 92y

34kurt3 years ago

3 0

Answer:

A. 33x + 92y

Step-by-step explanation:

Set up the problem like this and combine like terms:

40x + 58y

- 7x + 34y

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

33x + 92y

Or, set up the problem like this and combine like terms:

(40x + 58y) + (-7x + 34y)

40x + 58y - 7x + 34y

40x - 7x + 58y + 34y

33x + 92y

You should get the same answer with either method.

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3 years ago

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3 years ago

Find the solution to the system of equations below.<br> 2y = 2x - 8<br> 2x + y = 5

ladessa [460]

Answer:

The solution to the system of equations is:

(x, y) = (3, -1)

The graph is attached below.

Step-by-step explanation:

Given the system of equations

$2y = 2x - 8$

$2x + y = 5$

Let us solve the system of equations using the elimination method

$\begin{bmatrix}2y=2x-8\\ 2x+y=5\end{bmatrix}$

Arrange equation variables for elimination

$\begin{bmatrix}2y-2x=-8\\ y+2x=5\end{bmatrix}$

Multiply y + 2x = 5 by 2: 2y + 4x = 10

$\begin{bmatrix}2y-2x=-8\\ 2y+4x=10\end{bmatrix}$

subtracting the equations

$2y+4x=10$

$-$

$\underline{2y-2x=-8}$

$6x=18$

solve 6x = 18 for x

$6x=18$

Divide both sides by 6

$\frac{6x}{6}=\frac{18}{6}$

simplify

$x=3$

For 2y - 2x = -8 plug in x = 3

$2y-2\cdot \:3=-8$

$2y-6=-8$

Add 6 to both sides

$2y-6+6=-8+6$

Simplify

$2y=-2$

Divide both sides by 2

$\frac{2y}{2}=\frac{-2}{2}$

Simplify

$y=-1$

Therefore, the solution to the system of equations is:

(x, y) = (3, -1)

The graph is attached below.

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2 years ago

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3 years ago

23. A grid shows the positions of a subway stop and your house. The subway stop is located at (-5, 2) and your house is located

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3 years ago