Which statements about the system are true? check all that apply.
y = x – 4
3y – x = –7
the system has one solution.
the system consists of parallel lines.
both lines have the same slope.
both lines have the same y–intercept.
the equations represent the same line.
the lines intersect.

The correct answers are:

Step-by-step explanation:

We are given system of linear equations as:

y=x-4--------(1)

and 3 y-x= -7----------(2)

on substituting the value of 'y' from equation (1) into equation (2) we have:

3(x-4)-x=-7

⇒ 3x-3×4-x=-7

⇒ 3x-x= -7+12

⇒  2x=5

⇒

also putting the value of x into equation (1) we have:

             Hence, the system has one solution.

                y-intercept is -4

            but the slope of line 3y-x = -7 i.e.

          hence the slope of second line is: .

                  and y-intercept is .

22

step-by-step explanation: