Question

Solve the system be either substitution or elimination 3x-5y=21 and 2x+y=1

Answer 1

x = 2, y = -3.

Explanation:

3x - 5y = 21

2x + y = 1

We can use elimination by first multiply the second equation by 5:-

10x + 5y = 5 Now add this to the first equation:-

13x = 26

x = 2.

Now plug x = 2 anto the second equation to find y:-

2(2) + y = 1

y = 1 - 4 = -3.

Answer 2

(2,-3)

Explanation:

I used substitution and rearranged the second equation to y=-2x+1. Then I replaced the y in the first equation with -2x+1. So, I got 3x-5(-2x+1)=21. When you solve that you get 13x=26 or x=2. Then you replace x with 2 in either equation and end up with y=-3.