Question

HELP 29 PTS!!!!

What is the solution of the system of equations? {4x−3y=152x+2y=4 Enter your answer in the boxes.

Answer 1

`x=3\\y=-1\\\\(3,-1)`

Explanation:

We have the following system of equations

`4x-3y=15\\2x+2y=4`

To solve the system of equations multiply the second equation by -2 and add it to the first equation

`-2*(2x+2y)=-2*4`

`-4x - 4y=-8\\4x-3y=15`

-------------------

`-7y = 7\\y=-1`

Now substitute the value of y in any of the two equations and solve for the variable x

`4x-3(-1)=15`

`4x+3=15`

`4x=15-3`

`4x=12`

`x=(12)/(4)`

`x=3`

Finally the solution is:

(3, -1)