SOLUTION: Solve by substitution: 3x -5y =-27 2x + y = -5

Algebra ->  Expressions-with-variables -> SOLUTION: Solve by substitution: 3x -5y =-27 2x + y = -5      Log On


   

Question 306963: Solve by substitution: 3x -5y =-27
2x + y = -5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.3x+-5y+=-27
2.2x+%2B+y+=+-5
From eq. 2,
2x%2By=-5
y=-2x-5
5y=-10x-25
Substitute into eq. 1,
3x+-5y+=-27
3x+-%28-10x-25%29+=-27
3x%2B10x%2B25=-27
13x=-52
highlight%28x=-4%29
Then from eq. 2,
y=-2x-5
y=-2%28-4%29-5
y=8-5
highlight%28y=3%29