SOLUTION: 5x-2y=-16 2x+ y= 8 please solve using elimination method

Question 150729: 5x-2y=-16
2x+ y= 8
please solve using elimination method
Answer by Electrified_Levi(103) (Show Source): You can put this solution on YOUR website!
Hi, Hope I can help
.
5x-2y=-16
2x+ y= 8
please solve using elimination method
.
elimination method is pretty easy, first you either add or subtract the equations to get rid of a letter
.
We can't add or subtract to get rid of a letter, yet.
.
We will add the first two equations to make a new equation
.
5x-2y=-16
2x+ y= 8
.
5x-2y=-16
+ (2x + y= 8)
.
5x-2y=-16
+ 2x+y= +8
.
We can move the second equation to the first equation
.

.
It will become
.

.
We can now add or subtract to get rid of a letter, which is "y"
.
We can add the second equation (2x+ y= 8) to our third equation ( 7x - y = -8 )
.
We will put them side by side
.
7x - y = -8
2x+ y= 8
.
We will now add
.
7x - y = -8
+ (2x + y = 8)
.
7x - y = -8
+ 2x + y= + 8
.
We will put the equations on top of each other
.

.
It will become
.

.
We will divide each side by 9
.

.
x =
.
x = 0
.
We can replace "x" in our original equations
.
5x-2y=-16
2x+ y= 8
.
We will use the second equation
.

.
y = 8
.
Our soulution is (0,8) (x,y) (point (0,8) can be put in both of our orignal equations)
.
We can check by replacing "x" and "y" in our first equation, and second equation
.
First equation
.

.
(True)
.
Second equation
.

.
(True)
.
Our solution set = (0,8)
.
Hope I helped, Levi
RELATED QUESTIONS
Solve using the elimination method 2x � y = 8 4x � 2y = 16 (answered by algebrahouse.com)

solve by using elimination method 3x+2y+z=8 5x-3y+4z=3... (answered by ankor@dixie-net.com)

Solve using elimination method. 2x+ 8y = 26 5x- 7y =... (answered by faceoff57)

I am having problems with solving equations. The following are equations and it's... (answered by stanbon!,AnlytcPhil)

2x � y = 8, y = 5x + 3 Solve using the elimination method. I dont get... (answered by neatmath)

Solve the system using the substitution method or the elimination-by-addition method. 2x (answered by solver91311)

Solve using elimination. 3x + 5y = -8 -2x + 2y = 16 (answered by ikleyn)

4x-2y=16 5x+7y=1 We eliminate. y from 1 to get 2y=4x-16 y=2x-8 We then substitute. in... (answered by solver91311)

2x-y=8 5x-2y=21 please solve using substitution method to solve the system of linear... (answered by mananth)