SOLUTION: Solve the system of linear equations by elimination. Check your solution. -2x

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Question 1076522: Solve the system of linear equations by elimination. Check your solution.
-2x - 5y = -8
-2x + y = 16
Found 3 solutions by Boreal, ikleyn, MathTherapy:
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website!
-2x - 5y = -8
-2x + y = 16
2x-y=-16
-6y=-24
y=4
2x=-12
x=-6
check in first equation
12-20=-8

Answer by ikleyn(52803)   (Show Source):
You can put this solution on YOUR website!
.
Solve the system of linear equations by elimination. Check your solution.
-2x - 5y = -8
-2x + y = 16
~~~~~~~~~~~~~~~~

-2x - 5y = -8, (1) -2x + y = 16. (2) Subtract the equation (2) from the equation (1). You will get -5y - y = -8 - 16, or -6y = -24, which gives y = = 4. Then from (2) -2x = 16 - y = 16 - 4 ---> -2x = 12 ---> x = . Answer. x = -6, y = 4.

It is how the Elimination method works.

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".

Answer by MathTherapy(10552)   (Show Source):
You can put this solution on YOUR website!

Solve the system of linear equations by elimination. Check your solution.
-2x - 5y = -8
-2x + y = 16

- 2x - 5y = - 8 -------- eq (i)
- 2x + y = 16 -------- eq (ii)
6y = 24 ------ Subtract eq (i) from eq (ii)

Substitute value for y into any of the 2 original equations to get the value of x.
Do a check, as instructed.

SOLUTION: Solve the system of linear equations by elimination. Check your solution. -2x - 5y = -8 -2x + y = 16