Question

.
Solve the system of equations 3x + 2y = 22 and x - 2y = -6.
solve system of equations

Answer 1

(4,5)

Explanation:

I solved through substitution

3x+2y=22

x-2y=-6 ----> -2y=-6-x ----> -2y=-x-6 -----> y=1/2x+3

Solving for x:

3x+2y=22

3x+2(1/2x+3)=22

3x+x+6=22

4x+6=22

4x=16

x=4

Solving for y:

x-2y=-6

4-2y=-6

-2y=-10

y=5

(4,5)

Answer 2

x=4

y=5

Explanation:

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