Question

Solve each system by substitution
2x+y=20
6x-5y=12
what is (x,y)?

Answer 1

2x+y=20

6x-5y=12

First get y by its self

2x+y=20

y= -2x+20

Now plug into second equation for y

6x-5(-2x+20)=12

6x+10x-100

16x-100=12

16x=112

x=7

now plug in x value into first equation and solve for y

2(7)+y=20

14+y=20

y= 6

Now check by plugging x and y values back into equation

2(7)+6=20

6(7)-5(6)=12

They both work so x=7 and y =6

Answer 2

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:(7,6)

Equation Form: x=7, y=6