218k views
1 vote
Use the elimination method to solve the system of equations . Choose the correct ordered pair -3y = x - 5 x + 5y = 7

1 Answer

2 votes

Answer:


(2,1).

Explanation:

We have been given a system of equations. We are asked to solve our given system using elimination method.


-3y=x-5...(1)


x+5y=7...(2)

First of all, we will gather all terms of both equations on left side as shown below:


-x-3y+5=0...(1)


x+5y-7=0...(2)

Adding equation (1) and (2), we will get:


-x+x-3y+5y+5-7=0\rightarrow 2y-2=0

Now, we will add 2 on both sides of our equation as shown below:


2y-2+2=0+2


2y=2


(2y)/(2)=(2)/(2)


y=1

Upon substituting
y=1 in equation (2), we will get:


x+5*1=7


x+5=7


x=7-5


x=2

Therefore, the solution for our given system of equations would be
(2,1).

User Muhammad Mehar
by
5.3k points