Which statements about the system are true? check all that apply. y = 1/3 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.

  y = 1/3 x – 4
3y – x = –7

is easier to solve if written as above, with each equation on one line.

Mult. the first eqn by -3:  we get -3y = -1 - 4(-3), or -3y = 11.   Add this new form of the 1st equation to the second equation:

 3y – x = –7
-3y = 11

  -x = 4, or x = -4.  Then y = (1/3)(-4) - 4, or y = -4/3 - 12/3 = -16/3

If this is correct, then the solution is (-4, -16/3) (one solution, and the lines intersect).