Question

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

Answer 1

x = -1, y = -1

Explanation:

Given:

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

Solve:

`\mathrm{Substitute\:}x=(1+3y)/(2)`

`\begin{bmatrix}(1+3y)/(2)+2y=-3\end{bmatrix}`

Simplify

`\begin{bmatrix}(1+7y)/(2)=-3\end{bmatrix}`

`\mathrm{For\:}x=(1+3y)/(2)`

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

`x=(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~