Question

8x + y = -16
-3x + y = -5
THANKYOU
Find (x,y)

Answer 1

x = -1

y = -8

Explanation:

Given:

`\begin{bmatrix}8x+y=-16\\ -3x+y=-5\end{bmatrix}`

Solve:

`\mathrm{Substitute\:}x=(-16-y)/(8)`

`\begin{bmatrix}-3\cdot (-16-y)/(8)+y=-5\end{bmatrix}`

`\mathrm{Simplify}`

`\begin{bmatrix}(48+11y)/(8)=-5\end{bmatrix}`

`\mathrm{For\:}x=(-16-y)/(8)`

`\mathrm{Substitute\:}y=-8`

`x=(-16-\left(-8\right))/(8)`

`x=-1`

`\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}`

`x=-1,\:y=-8`

~Lenvy~