Question

−7x−6y=2 7x+4y=−6 solve for x and y

Answer 1

Answer:

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:x=-2,\:y=2}$

Step-by-step explanation:

$\begin{bmatrix}-7x-6y=2\\ 7x+4y=-6\end{bmatrix}$

$\mathrm{Substitute\:}x=-\frac{2+6y}{7}$

$\begin{bmatrix}7\left(-\frac{2+6y}{7}\right)+4y=-6\end{bmatrix}$

$\begin{bmatrix}-2-2y=-6\end{bmatrix}$

$\mathrm{For\:}x=-\frac{2+6y}{7}$

$\mathrm{Substitute\:}y=2$

$x=-\frac{2+6\cdot \:2}{7}\\\\x=-2$