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

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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(52814)   (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(10555)   (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. 

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