Determine the solution to the system of equations below.

Question

x-3y=1

3x-5y=11

 

Please explain how you got your answer. Thanks!

Answer 1

Hi Lolli,

 

I will try eliminating x. To do that, I will multiply the first equation by -3 and then add the two equations.

-3*(x-3y=1)

 

-3x+9y = -3

3x-5y = 11

+---------------

4y = 8

y = 2

 

Now, plug y=2 in the first equation to solve for x.

x - 3*2 = 1

x - 6 = 1

x = 7