Examine the system of equations -3x+y=4, -9x+5y=-1 what is the solution

x=-7/2 y=29/2

Steps:

Use the elimination method

Multiply -3x+y=4 by 5 to make the coefficient next to the y in both equations the same

5(-3x+y=4)

-15x+5y=20

Then, subtract to eliminate the y

-15x+5y=20
- -9x+5y=-1

= -6x=21
Divide both sides by -6 to isolate x

= x= -7/2

Next substitute -7/2 into x in one of the equations

-3(-7/2)+y=4

-21/2+y=4

Add 21/2 from both sides to isolate y

y=29/2