Question

Solve the system of equations 3x+2y=223x+2y=22 and -4x+3y=16−4x+3y=16 by combining the equations.

Answer 1

(2, 8)

Explanation:

Given the system of equation

3x+2y=22 ... *4

-4x+3y=16 .... *3

Using the elimination method

12x + 8y = 88

-12x + 9y = 48

Add

8y + 9y = 88+48

17y = 136

y = 136/17

y = 8

Recall that

3x+2y=22

3x+2(8)=22

3x + 16 = 22

3x = 22-16

3x = 6

x = 6/3

x = 2

Hence the required solution (x, y) is (2, 8)