SOLUTION: Solve the system
{{{y=12x-19}}}
{{{y=x^2+5x-7}}}
Algebra.Com
Question 135442: Solve the system
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system
Set the two equations equal to one another
Subtract 12x from both sides. Add 19 to both sides.
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
So our x values are
or
Start with the first equation
Plug in
Simplify
So the first ordered pair is (4,29)
-------------
Start with the first equation
Plug in
Simplify
So the second ordered pair is (3,17)
------------
Answer:
So the solutions are
(4,29) or (3,17)
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