Question

System of equations solve by substitution for

6x-2y= -6

-5x+y=11

Answer 1

x = -4 and y = -9 or (-4,-9)

Explanation:

6x-2y=-6

-5x+y=11 add the two equations together combining like terms

________

x-y=5

x=5+y

Substitute for x in terms of y

6(5+y)-2y =-6

30+6y -2y=-6

4y = -36

y=-36/4

y=-9

Substitute -9 for y into any equation to find x

x=5+y

x=5-9

x=-4

check your work by plugging your answers into any equation

-5(-4)+(-9) =11

20-9=11

11=11 the answers verify