Solve the system of equations by elimination.

2x+8y=10

-4x-9y=-13

x = y =

So use cancelation

multiply first equation by 2

2x+8y=10

times 2

4x+16y=20

now add

4x+16y=20

-4x-9y=-13 +

0x+7y=7

7y=7

divide by 7

y=1

subsittue

2x+8y=10

2x+8 (1) = 10

2x+8=10

subtract 8 from both sides

2x=2

divide by 2

x=1

x=1

y=1