Answer:
x = 5, y = -2
Step-by-step explanation:
Multiply the top equation by 4 and the bottom equation by 5:
[tex]8x + 20y = 0[/tex]
[tex]15x - 20y = 115[/tex]
Add these two equations to eliminate y, and then solve for x.
[tex]23x = 115[/tex]
[tex]x = 5[/tex]
Substitute 5 for x in 8x + 20y = 0, and then solve for y:
[tex]8(5) + 20y = 0[/tex]
[tex]40 + 20y = 0[/tex]
[tex]20y = - 40[/tex]
[tex]y = - 2[/tex]