Solve 3x -2y = 10 for x:
Add 2y to both sides:
3x = 2y + 10
Divide both sides by 3:
X = (2y+10)/3
Now replace that for x in the second equation:
9(2y+10/3) + 4y = -50
Distributive property:
6y + 30 + 4y = -50
Simplify:
10y + 30 = -50
Subtract 30 from both sides:
10y = -80
Divide both sides by 10:
Y = -8
Now you know y replace y in the first equation and solve for x:
3x -2(-8) = 10
Simplify:
3x +16 = 10
Subtract 16 from both sides:
3x = -6
Divide both sides by 3:
X = -2
Solution: x = -2, Y = -8
