\begin{aligned} & -5y+8x = -18 &5y+2x = 58 \end{aligned}


−5y+8x=−18
5y+2x=58

x=4, y=10

Step-by-step explanation:

−5y+8x=−18

5y+2x=58

Add the two equations together to eliminate y

−5y+8x=−18

5y+2x=58

10x = 40

Divide by 10

10x/10 = 40/10

x = 4

Now we need to find y

5y +2(4) = 58

5y+8 = 58

Subtract 8 from each side

5y+8-8 = 58-8

5y = 50

Divide by 5

5y/5= 50/5

y= 10