Question

Which of the following (x,y) pairs is the solution to the system of equations –3x + y = –8 and x + 2y = 12 ?

Answer 1

Answer:

y=4    x= 4

Step-by-step explanation:

-3x+y= -8

x+2y =12

equate x with y in the second equation

x = 12-2y  in the first equation -3x + y = -8

subtitute x with 12 -2y

-3 {12-2Y} + Y=-8 open the bracket

-36 +6y+y =-8

-36 +7y=-8

7y=-8 +36

7y=28

y=4

back to the second equation since we know the value of y=4

x +4[2]=12

x+8=12

x=12-8

x=4