Question

Soap using elimination what is negative 2X minus 4Y equals 22 and 10 X plus 4Y equals 18

Answer 1

`x=5\\y=-8`

Explanation:

Given equations:

A.
`-2x-4y=22`

B.
`10x+4y=18`

Using elimination to solve the given system.

We will add equation A and equation B in order to eliminate
`y`

Adding equation A to equation B.

`-2x-4y=22`

+
`10x+4y=18`

---------------------------------

`8x=40`

Dividing both sides by 8.

`(8x)/(8)=(40)/(8)`

`x=5` (Answer)

Plugging in value of
`x` in equation B to evaluate
`y`.

`10(5)+4y=18`

`50+4y=18`

Subtracting both sides by 50

`50+4y-50=18-50`

`4y=18-50`

`4y=-32`

Dividing both sides by 4.

`(4y)/(4)=-(32)/(4)`

∴
`y=-8` (Answer)