Question

I need to solve for x and y. Any help is greatly appreciated! Thank you!

Answer 1

The system has infinite number of solutions as both equations are equation of same line.

Explanation:

Given equations:

A)
`-4x+6y=-20`

B)
`2x-3y=10`

Naming the first equation as A and 2nd as B.

Using elimination method to solve.

In order to eliminate
`x` we need to multiply such a number to equation B which when added to A eliminates
`x`

Multiplying equation B with 2.

`2(2x-3y)=2* 10`

`(2*2x)-(2*3y)=20` [Using distribution.]

`4x-6y=20`

Now adding the above equation with A i.e [
`A+2B`]

(A)
`-4x+6y=-20`

+ (2B)
`4x-6y=20`

On adding we get
`0=0`

This means the system has infinite number of solutions as the two equations are equations of same line.