SOLUTION: Solve the following system of equations with the substitution method y=-7/2x-39 y=-5/3x-17

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Question 1132467: Solve the following system of equations with the substitution method
y=-7/2x-39
y=-5/3x-17
Answer by ikleyn(52790) About Me  (Show Source):
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Substitute the expression for y from the first equation into the second equation.


You will get a single equation for x


%28-7%2F2%29x+-+39 = %28-5%2F3%29%2Ax-17.


It is how the substitution method works in this case.


To solve the last equation, first multiply both sides by 6 to ride off the denominators.


From this point, do all the arithmetic and complete the solution on your own.

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If you need to learn on how to solve systems of equations in two unknowns by the Substitution method or if you need
to strengthen your knowledge, look into the lesson
    - Solution of the linear system of two equations in two unknowns by the Substitution method
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Systems of two linear equations in two unknowns".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.