Question

Solve the system of equations using elimination. −2x + 3y = 15 x + y = 10

Answer 1

`x=3`

`y=7`

Explanation:

`-2x+3y=15\\` (1)

`x+y=10` (2)

Multiply equation (2) by 2:

`2x+2y=20`

Add this new equation to equation (1):

`5y=35`

Divide both sides by 5:

`y=7`

Substitute this value for 7 into either original equation:

`x+7=10`

Solve:

`x=3`