How do you solve the system of equations y= - x + 11 and 2x + 3y = 26?

1 Answer
Jan 31, 2018

x = 8
y = 3

Explanation:

y = -x + 11
2x+3y = 26

If we know y = -x + 11 then we can sub y for the other equation. This gives us:

2x+3color(red)y = 26

2x+3(color(red)(-x+11)) = 26

From here we solve for x:

2x-3x+33=26

2x-3x = 26 -33

-1x = -8

color(blue)(x=8)

Now we know x we can solve for y using our first equation:

y = -color(red)x + 11
y = -color(red)8 + 11
color(blue)(y = 3)