Question

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

Answer 1

Answer:

x = - 9, y = -1

Step-by-step 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]