Question

Solve the following system of equations by elimination. What is the value of x?{2x−5y=1{−3x+2y=−18 A) x = -1.5B) x = 1.5C) x = 8D) x = -8

Answer 1

Given:

`2x-5y=1`
`-3x+2y=-18`

Required:

We need to find the value of x.

Step-by-step explanation:

Consider the equation

`2x-5y=1`

Multiply both sides of this equation by 2.

`2(2x-5y)=2*1`
`4x-10y=2`

Consider the equation

`-3x+2y=-18`

Multiply both sides of this equation by 5.

`5(-3x+2y)=5(-18)`
`-15x+10y=-90`

`Add\text{ }4x-10y=2\text{ and -}15x+10y=-90.`
`4x-10y-15x+10y=2-90`
`4x-15x=-88`
`-11x=-88`

Divide both sides of the equation by (-11).

`-(11x)/(-11)=-(88)/(-11)`
`x=8`

Final answer:

`x=8`