SOLUTION: Solve the system by substitution. 2x + 2y = 14 y = –3x + 9 Hint: You must find both the x and the y values for full credit.

Algebra ->  Algebra  -> College  -> Linear Algebra -> SOLUTION: Solve the system by substitution. 2x + 2y = 14 y = –3x + 9 Hint: You must find both the x and the y values for full credit.       Log On


   

Question 82522: Solve the system by substitution.
2x + 2y = 14
y = –3x + 9
Hint: You must find both the x and the y values for full credit.

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
Since we have y=-3x%2B9 we can substitute this value of y into y of the first equation

2x+%2B+2%28-3x%2B9%29+=+14 Plug in -3x+9 into y

2x+-+6x+%2B+18+=+14 Distribute

-4x%2B18+=+14 Combine like terms

-4x+=+-4 Subtract 18 from both sides

x+=+1 Divide both sides by 2

Now plug this into y=-3x%2B9 to find y

y=-3%281%29%2B9 Plug in x=1

y=-3%2B9

y=6

So our solution is

x=1, y=6