3x + 2y = 19

- 4x + 3y = - 14

x = 5 and y = 2, or (5,2) (Whichever one you do in class)

Step-by-step explanation:

You should solve this problem using substitution!

First you want to solve for x on this equation, 3x + 2y = 19.

start by subtracting 2y on each side, 3x + 2y (-2y) = 19 (-2y). 3x = - 2y + 19

Then divide by 3, 3x/3 = (-2y + 19) / 3, this would give you x = (-2y + 19) / 3

Next you substitute (-2y + 19) / 3 in for x in 4x + 3y = - 14: 4 (-2y/3 + 19/3) + 3y = - 14

Then Solve: (See Math Papa Algebra Calculator if you want to know exactly how to solve.) This would give you y = 2

Then substitute the 2: giving you x = 5