What is the solution of the system of equations? {4x−3y=152x+2y=4

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

Step-by-step explanation:

Multiply the second equation by 2 and subtract the first equation.

... 2(2x +2y) -(4x -3y) = 2(4) -(15)

... 7y = -7 . . . . . . simplify

... y = -1 . . . . . . . .divide by 7

Substitute this value into the second equation.

... 2x +2(-1) = 4

... 2x = 6 . . . . . . . add 2

... x = 3 . . . . . . . . divide by 3

The solution is (x, y) = (3, -1).