SOLUTION: Solve the system of equations using substitution. 6x + y = 11 -6x -8y = -14 ----------- ----------- ----- The solution is _____ (Type an ordered pair. Type N if there is

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Question 181023: Solve the system of equations using substitution.
6x + y = 11
-6x -8y = -14
-----------------------------
The solution is _____
(Type an ordered pair. Type N if there is no solution. Type I if there are infinitely many solutions.)
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
Solve the system of equations using substitution.
6x + y = 11
-6x -8y = -14
:
Use the 1st equation as the substitute, subtract 6x from both sides:
y = -6x + 11
:
Substitute (-6x+11) for y in the 2nd equation:
-6x - 8(-6x + 11) = -14
Multiply what's inside brackets, neg changes the signs:
-6x + 48x - 88 = -14
42x = -14 + 88; added 88 to both sides
42x = 74
x =
reduces to:
x =
:
Find y:
y = -6x + 11
y = -6() + 11
y = +
y =
reduces to
y =
:
:
Check solution it 2nd equation:
-6x - 8y = -14
-6() - 8() =
-6() - 8() =
- =
= -14, confirms our solution
:
I thought you could see the ordered pair is: ,
No mention of a graph however if you graph these equations:
y = -6x + 11
and
-6x -8y = -14
6x + 8y = 14; multiply equation by -1
8y = -6x + 14
y = -.75x +