SOLUTION: 6x + y = 9 and 4x -y = 1

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Question 1095528: 6x + y = 9 and 4x -y = 1
Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
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Add the first and the second equations (both sides) and see what will happen.


"y" will gone out (will be canceled) and you will get an equation for the single unknown x.


Solve it for x.

Then find "y" from whichever of two original equations.


It is how the Elimination method works in this case.


On solving systems of linear equations in two unknowns see the lessons
    - Solution of a linear system of two equations in two unknowns by the Substitution method
    - Solution of a linear system of two equations in two unknowns by the Elimination method
    - Solution of a linear system of two equations in two unknowns using determinant
    - Geometric interpretation of a linear system of two equations in two unknowns
    - Solving word problems using linear systems of two equations in two unknowns

    - Using systems of equations to solve problems on tickets
    - Using systems of equations to solve problems on investment
    - Two mechanics work on a car
    - The Robinson family and the Sanders family each used their sprinklers last summer
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".


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.