
Kenneth S. answered 04/14/16
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Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018
Actually, this is one problem, a system of two linear equations each of whose graph is a straight line. These lines meet at one intersection point, called the system solution.
A good way to do this problem is by Cramer's rule, or by the Reduced Row echelon method (MATRIX command RREF on TI-84). Other methods:
1) solve first equation for y; substitute into second equation, thus solving for x. Unfortunately this requires a lot of work with fractions.
2) BETTER: Use the Elimination method; multiply first equation by -5, throughout, and add the resulting equation to the second one. This will allow you to solve for y; you may get a fraction but only at the end.
Then plug back into first equation, thus finding x; grit your teeth because it could be a non-integer solution.