SOLUTION: Solve the system using substitution. Make sure to show/explain your steps in order to receive full credit. y = 2x - 9 x + 3y = 8

Algebra ->  Graphs -> SOLUTION: Solve the system using substitution. Make sure to show/explain your steps in order to receive full credit. y = 2x - 9 x + 3y = 8      Log On


   



Question 946880: Solve the system using substitution. Make sure to show/explain your steps in order to receive full credit.

y = 2x - 9
x + 3y = 8

Answer by EdenWolf(517) About Me  (Show Source):
You can put this solution on YOUR website!
Since we will be substituting, let us first find x. Let us substitute y with 2x-9 in the second equation, since y = 2x-9. It will look like this: x%2B3%282x-9%29=8
Now let's solve the equation.
x%2B6x-27=8
7x-27=8
7x=35
x=5
Okay, we have x, but wait! We don't have y yet! So let's plug in 5 into x in the first equation to find y.
y=2%2A5-9
y=10-9
y=1
There we have it! We have that x = 5 and y = 1. Hope I helped! :)