Question

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

Answer 1

Answer:

$(2,1)$.

Step-by-step 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:

$2y-2+2=0+2$

$2y=2$

$\frac{2y}{2}=\frac{2}{2}$

$y=1$

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 $(2,1)$.