SOLUTION: Solve the system by substitution
{{{y=x^2-4}}}
{{{y=6x-13}}}
Algebra.Com
Question 135530: Solve the system by substitution
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system
Plug in into the second equation
Get all terms to left side
Combine like terms
Factor the left side (note: if you need help with factoring, check out this solver)
Now set each factor equal to zero:
or
or Now solve for x in each case
Since we have a repeating answer, our only answer is
Go back to the second equation
Plug in
Simplify
Answer:
So the solution is (3,5)
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