Question

Solve the following systems of equations algebraically. Verify your solution either graphically or by using matrices.
3x - y=0
5x + 2y=22

Answer 1

3x - y=0

5x + 2y=22

Solve the first equation for y

3x - y =0

-y = -3x

so y = 3x

Now plug in y=3x in second equation

5x + 2y=22

5x + 2(3x) =22

5x + 6x = 22

11x = 22

Divide by 11 on both sides

x= 2

Plug in 2  for x and find out y

y = 3x

y = 3(2) = 6

Solution is (2,6)

The graph is attached below to verify the solution

Both lines intersects at (2,6)

so our answer is correct.