Question

Solve the system of equations by multiplying first. Enter the solution as an ordered pair.

x + 3y = -13

4x + 4y = -12

The solution is

Answer 1

Given:

The system of equations is:

`x+3y=-13`

`4x+4y=-12`

To find:

The solution for the given system of equations.

Solution:

We have,

`x+3y=-13` ..(i)

`4x+4y=-12` ...(ii)

Multiply equation (i) by 4, to make common coefficient of x.

`4x+12y=-52` ..(iii)

Subtract (ii) from (iii).

`4x+12y-4x-4y=-52-(-12)`

`8y=-40`

`y=(-40)/(8)`

`y=-5`

Putting
`y=-5` in (i), we get

`x+3(-5)=-13`

`x-15=-13`

`x=-13+15`

`x=2`

Therefore, the solution of the given system of equations is
`x=2,y=-5`.