Answer:
[tex]x = -3 \\y = 4[/tex]
Step-by-step explanation:
isolate y in the second equation:
[tex]y= 10 +2x[/tex]
substitute the 2nd equation in the first equation:
[tex]3x - 2(10 + 2x) = -17[/tex]
simplify:
[tex]3x - 20 - 4x = -17[/tex]
add like terms together:
[tex]-x = 3[/tex]
[tex]x = -3[/tex]
After you find x, find y:
[tex]-2(-3) +y=10[/tex]
[tex]6 + y = 10[/tex]
[tex]y = 4[/tex]
Verify:
[tex]3(-3) - 2(4) = -17[/tex] ✓
[tex]-2(-3) + (4) = 10[/tex] ✓
