Question

Solve this system of linear equations. Separate the x- and y- values with a coma. 3x=36-15y. 11x =-78+15y

Answer 1

(-3,3)

Explanation:

3x=36-15y and 11x =-78+15y

We move all x and y terms to the left hand side of the equation , so that we can apply elimination method

3x=36-15y , Add 15 y on both sides , 3x + 15y = 36

11x =-78+15y, subtract 15y on both sides, 11x -15y = -78

Now we add both equations

3x + 15y = 36

11x -15y = -78

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

14x = -42

divide both sides by 14

x= -3

Now Plug in -3 for x in any one of the given equation

3x=36-15y

3(-3) = 36 - 15y

-9 = 36 - 15y

Subtract 36 on both sides

-45 = -15y

Divide both sides by -15

So y= 3

Answer is (-3,3)