Question

HELP ASAP!! graph the system of equations below by graphing both equations below on a piece of paper. what is the solution?

y=x-1
y=3x+1

A. 1, -2

B. -1, -2

C. 2, 1

D. -1, -1​

Answer 1

Answer: Our answer set is( -1,-2 )

Explanation:

y = x - 1

y = 3x + 1

We can use the combine method here.

==> - 1y + 1x = 1 (y = x - 1)

==> -1y +3x = -1 (y = 3x + 1)

- 1y + 1x = 1

-1y +3x = -1

To single out any of the two variables, we need them to cancel out. Let us choose to cancel out y. We therefore multiply by negative 1 in the first re-arranged equation.

==> -1* (- 1y + 1x )= (1 ) * -1

Now we add the equations

==> 1y -1x = -1

==>-1y +3x = -1

______________

2x = -2

Divide.

==> x = -1

Now we insert x into any of the two original equations;

y = (-1) - 1

==> y = -2

Our answer set is( -1,-2 )