Solve the system by elimination. 3x-10y=-25 4x+40y=20

3x-10y=-25 Add 10y10y to both sides

3x=-25+10y

Regroup terms

3x=10y-25 3x=10y-25

Divide both sides by 3 3

x=10y-25/3

Factor out the common term 5 5

your answer: x=5 (2y-5) / 3

4x+40y=20

Factor out the common term 4 4

4 (x+10y) = 20

Divide both sides by 4 4

x+10y = 20/4

Simplify 20/4 to 5

x+10y=5

Subtract 10y 10y from both sides

your answer: x=5-10y

3x-10y=-25

4x+40y=20

12x-40y=-100

12x+120y=60

-160y=40

y=1/4

x=5/2