Question

Question #aea82

Answer 1

`x=2; y=3`

Explanation:

Solving by elimination causes one unknown term to be removed from the system of equations at a time.

Given:
`3x+4y=18`
`2x-4y=-8 to` To eliminate the `y` term, add the two equations:

`5x=10; x=2`

To eliminate the `x` term, multiply the two equations so the x term is the same in each (in this system, the multipliers are `2 and 3`):

`2*3x+2*4y=2*18`
`3*2x-3*4y=3*(-8) to`

`6x+8y=36`
`6x-12y=-24 to` then subtract the second equation from the first:

`cancel(6x)+8y=36`
`cancel(-6x)-(-12y)=-(-24) to`

`20y=60; y=3`

To check, substitute the answers into either equation:

`2x-4y=-8 to`

`2*2-4*3=-8 to`

`4-12=-8`

`-8=-8`