Solve by any method (substitution, graphing, linear combination y=x-6 3x+2y=8 (14,8) (0,-6) (4,-2) (3,-3)

The answer is (4,-2)

Step-by-step explanation:

y=x-6

3x+2y=8

3x+2 (x-6) = 8

3x+2x-12=8 Combine like terms

3x+2x-12+12=8+12 add 12 to both sides then combine

5x=20→ x=4

then plug it in to y=x-6→y=4-6→y=-2

(4,-2)

Step by Step Explanation:

Given equations are

y=x-6 eq (1)

3x+2y=8 eq (2)

Subtitute eq (1) into eq (2) we get

3x+2 (x-6) = 8

3x+2x-12=8

5x-12=8

Adding 12 on both side of equation we get

5x-12+12=8+12

5x=20

Dividing by 5 on both sides of equation we get

5x/5=20/5

x=4

Putting the value of in eq (1) we get

y=4-6

y=-2

The solution is (4,-2).