Question

Question #fd60d

Answer 1

Multiply the second equation by -2 and then add the two equations causing the x term to be eliminated.

Explanation:

`(-5x +2y = -13) xx -2` results in

`+ 10 x - 4y = + 26`

adding the two equations

`-10x + 7y = -23`
`+10x -4y = +26`
`= 0x +3y = +3`

now divide both sides by 3
`(3y)/3 = 3/3`
this gives `y = 1`

Now substitute y = 1 into one of the equations.

`-10x + 7(1) = -23`

subtract 7 from both sides
`-10x +7 -7 = -23 -7`

This gives `-10x = -30`

divide both sides by `-10`
`-10x/-10 = -30/-10`

which gives `x = 3`

so the solution is `y =1 , x = 3`