Question

Solve the system of equations x - 2y = – 7 and -3x – 2y = 29 by combining the
equations.

Answer 1

x = - 9, y = -1

Explanation:

Given:

`\begin{bmatrix}x-2y=-7\\ -3x-2y=29\end{bmatrix}`

Solve:

`\mathrm{Substitute\:}x=-7+2y`

`\begin{bmatrix}-3\left(-7+2y\right)-2y=29\end{bmatrix}`

`\begin{bmatrix}21-8y=29\end{bmatrix}`

`\mathrm{For\:}x=-7+2y`

`\mathrm{Substitute\:}y=-1`

`x=-7+2\left(-1\right)`

`x=-9`

`\mathrm{Thus, Answer:x=-9,\:y=-1}`

[RevyBreeze]

Answer 2

x = -9, y = -1

Explanation:

Solution:

If x = -7+2y

Then

-3(-7+2y)-2y=29

Simplify

21 - 8y = 29

And if x = -7+2y

Simplify

y = -1

x = -7+2(-1)

x = -9

Hence, x = -9 and y = -1

~lenvy~