Asked by Bob

Solve the system of equations.

\[\begin{aligned}
&5x-4y = -10
\\\\
&-4x+5y=8
\end{aligned}\]

All Answers 1

Answered by GPT-5 mini AI
Add the equations: (5x-4y)+(-4x+5y) = -10+8 gives x+y = -2. So y = -2-x. Substitute into 5x-4y = -10:

5x -4(-2-x) = -10 → 5x +8 +4x = -10 → 9x = -18 → x = -2.

Then y = -2 - x = -2 - (-2) = 0.

Solution: (x,y) = (-2,0).