SOLUTION: What number would you multiply by the first equation and the second equation to solve the following system by addition, eliminating y? (Do not finish solving the system) {2x+3y=-8

Question 1077413: What number would you multiply by the first equation and the second equation to solve the following system by addition, eliminating y? (Do not finish solving the system)
{2x+3y=-8, 5x+4y=12
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.

Multiply first equation by 5, the second equation by 2.
Then subtract the second from the first.


In this way you eliminate "x".

Then solve for "y".


After finding "y", substitute it into either of the two given equations to find "x".

On the Substitution method, Elimination method, Determinants' method for solving the systems of two linear equations
in two unknowns see the lessons
    - Solution of the linear system of two equations in two unknowns by the Substitution method
    - Solution of the linear system of two equations in two unknowns by the Elimination method
    - Solution of the linear system of two equations in two unknowns using determinant
    - Geometric interpretation of the linear system of two equations in two unknowns
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 lessons are the part of this online textbook under the topic "Systems of two linear equations in two unknowns".

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