Question

Solve by combining equations PLS HELP! 3x - 2y = 12 -3x+8y= -6

Answer 1

3x−2y=12;−3x+8y=−6

Step: Solve3x−2y=12for x:

3x−2y=12

3x−2y+2y=12+2y(Add 2y to both sides)

3x=2y+12

3x

3

=

2y+12

3

(Divide both sides by 3)

x=

2

3

y+4

Step: Substitute

2

3

y+4forxin−3x+8y=−6:

−3x+8y=−6

−3(

2

3

y+4)+8y=−6

6y−12=−6(Simplify both sides of the equation)

6y−12+12=−6+12(Add 12 to both sides)

6y=6

6y

6

=

6

6

(Divide both sides by 6)

y=1

Step: Substitute1foryinx=

2

3

y+4:

x=

2

3

y+4

x=

2

3

(1)+4

x=

14

3

(Simplify both sides of the equation)

Answer:

x=

14

3

and y=1