How do you solve the system of equations y- 4= 3( x + 2) and 2x + 6y = 10?

1 Answer
Dec 16, 2016

x=-2.5
y=2.5

Explanation:

1) y-4=3(x+2)

2) 2x+6y=10

Solve for y in the first equation

y=3(x+2)+4
color(white)y=3x+6+4
color(white)y=3x+10

Substitute it in the second equation

2x+6(3x+10)=10
2x+18x+60=10
20x+60=10
20x=-50
x=-50/20
color(white)x=-5/2
color(white)x=-2.5

Substitute x in the one of the equations to find y

2(-2.5)+6y=10
-5+6y=10
6y=15
y=15/6
color(white)y=5/2
color(white)y=2.5