SOLUTION: Solve the following system by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent. 10x+2y=7 y=-5x+3

Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Solve the following system by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent. 10x+2y=7 y=-5x+3      Log On

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Question 81168: Solve the following system by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent.
10x+2y=7
y=-5x+3
Answer by stanbon(57298) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following system by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent.
10x+2y=7
y=-5x+3
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Substitute to get:
10x+2(-5x+3)=7
10x-10x+6 = 7
6=7
This is a contradiction that arose because we assumed the
"x" and the "y" variables in the two equation meant the
same number.
That assumption led to the contradiction that 6=7.
Our assumption was wrong.
The system is said to be "inconsistent".
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Cheers,
Stan H.