Question

2x - 3y = 1, x + 2y = -3 equivalent equation and solution

Answer 1

Answer:

x = -1, y = -1

Step-by-step explanation:

Given:

$\begin{bmatrix}2x-3y=1\\ x+2y=-3\end{bmatrix}$

Solve:

$\mathrm{Substitute\:}x=\frac{1+3y}{2}$

$\begin{bmatrix}\frac{1+3y}{2}+2y=-3\end{bmatrix}$

Simplify

$\begin{bmatrix}\frac{1+7y}{2}=-3\end{bmatrix}$

$\mathrm{For\:}x=\frac{1+3y}{2}$

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

$x=\frac{1+3\left(-1\right)}{2}$

$x=-1$

$The\:solutions\:to\:the\:system\:of\:equations\:are$

$x=-1,\:y=-1$

Check Answer:

2(-1)-3(-1) = 1

True

-1+2(-1)= -3

True

~Lenvy~