Question

How do you solve the system of equations `4x + 4y = 44` and `5x - 3y = - 57`?

Answer 1

`x = -3` and `y = 14`

Step 3) Substitute `14` for `y` in the solution to the first equation in Step 1) and calculate `x`:

`x = 11 - 14`

Explanation:

Sep 1) Solve the first equation for `x`:

`4x + 4y - 4y= 44 - 4y`

`4x = 44 - 4y`

`(4x)/4 = 44/4 - (4y)/4`

`x = 11 - y`

Step 2) Substitute `11 - y` for `x` in the second equation and solve for `y`:

`5(11 - y) - 3y = -57`

`55 - 5y - 37 = -57`

`55 - 8y = -57`

`55 - 8y - 55 = -57 - 55`

`-8y = -112`

`(-8y)/(-8) = (-112)/(-8)`

`y = 14`

Step 3) Substitute `14` for `y` in the solution to the first equation in Step 1) and calculate `x`:

`x = 11 - 14`

`x = -3`