
Answer:
x=-2 and y = -4
Step-by-step explanation:
3x-2y=2
Solve for x:
3x=2+2y (adding 2y both sides)
x= (2+2y)/3 (dividing both sides by 3)
Now, substitute x in the second equation:
But first, Notice that second equation can be simplified!
5(x-y) =10 (take 5 out since they're common!)
x-y=10/5 (Divide both sides by 5)
x-y=2
Now, substitute!
[(2+2y)/3] -y =2
(2+2y-3y)/3 =2 (Make common denominator)
2+2y-3y = 2times3 (multiply both sides by 3)
2-y = 6 (Simplify!)
-y = 6-2 (Subtract both sides by 2)
y= -4 (Divide negative both sides)
Now, that you know your y value find x:
Remember x was equal to: (2+2y)/3
Simply, substitute y as -4 and solve for x!
x = 2+2(-4) /3
x = 2-8 / 3
x= -6/3
x= -2
Hope this helps!
Mark brainliest if you think I helped! Would really appreciate!