SOLUTION: Can you please help me solve for the following problem: y=-2x+8 x+3y=9 Solve each by using substitution

Algebra ->  Rational-functions -> SOLUTION: Can you please help me solve for the following problem: y=-2x+8 x+3y=9 Solve each by using substitution      Log On


   

Question 152363: Can you please help me solve for the following problem:
y=-2x+8
x+3y=9
Solve each by using substitution
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
y=-2x+8----> eqn 1
x+3y=9 ----> eqn 2
By substituting eqn 1 to eqn 2:
x%2B3%28-2x%2B8%29=9
x-6x%2B24=9 ----------> 24-9=6x-x
cross%2815%293%2Fcross%285%29=cross%285%29x%2Fcross%285%29
x=3
for y: eqn 1,
y=-2%283%29%2B8=-6%2B8
y=2
In doubt? use eqn2:
3%2B3%282%29=9 ---> 3%2B6=9
9=9
Thank you,
Jojo