SOLUTION: Solve this system by graphing and then find an exact Solution by using substitution or elimination. X - 4y = -8 3x + y = 6

Algebra ->  Finance -> SOLUTION: Solve this system by graphing and then find an exact Solution by using substitution or elimination. X - 4y = -8 3x + y = 6       Log On


   

Question 1030487: Solve this system by graphing and then find an exact Solution by using substitution or elimination.
X - 4y = -8
3x + y = 6
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve this system by graphing and then find an exact Solution by using substitution or elimination.
X - 4y = -8
3x + y = 6
Put equations in the slope intercept form
-4y = -x - 8
Divide equation by -4
y = x%2F4 + 2
and
y = -3x + 6
Graph these two equations
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+%28x%2F4%29%2B2%2C+-3x%2B6%29+
:
Using elimination
:
multiply the 2nd equation by 4, add to the 1st equation
x - 4y = -8
12x+4y = 24
------------------
13x = 16
x = 16%2F13
:
Find y using equation y = -3x + 6
y = -3(16/13) + 6
y = -48%2F13 + 78%2F13
y = 30%2F13