Question

Solve the system using elimination. 5x + 8y = –29 7x – 2y = –67

Answer 1

Answer:

(x,y) =( -9,2)

Step-by-step explanation:

This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations.

It may be solved by substitution in that one of the variable is made the subject of the equation and the result is substituted into the second equation. Using the elimination method, multiply the second equation by 4, the result is

28x - 8y = -268

Add to the first equation given

5x + 28x + 8y - 8y = -29 -268

33x = -297

x = -297/33

= -9

substitute the value of x into  the first equation

5(-9) + 8y = -29

8y = -29 +45

8y = 16

y = 16/8

= 2

Answer 2

First, multiply the second equation by 4 so that 8y can cancel out. Now you have
5x+8y=-29
and
28x-8y=-268
Add these equations to get 
33x=-297
Divide both sides by 33, and you have
x=-9
Now, simply solve for y by plugging it into an equation, and you have
y=2
The final answer is (-9,2)!