Question

Which statement is true about the values of X equals 1.5 and Y equals -1.5?

Answer 1

Hello from MrBillDoesMath!

Answer:

D. "They are the only values that make both equations true"

Discussion:

Let's test the results by substitution:

Let (x,y) =  (1.5, -1,5) in  -2y + 6x = 12

-2(-1.5) + 6(1.5) = + 3 + 9 = 12  so (x,y) satisfies Line A

Similarly, substitute (x,y) in 4x + 12y = -12:

4(1.5) + 12 (-1.5) = 6 - 18 = -12 so (x,y) satisfies Line B.

As there is only 1 solution point (the point of intersection) of 2 non-parallel lines, choice D is the answer.

Thank you,

MrB