Which expressions would complete this equation so that it has one solution? 4 (2x - 3) - 4x = Choose exactly two answers that are correct.

a. 4x - 12

b. 3x - 4

c. 3 (2x - 6)

d. 4 (x - 5

First simplify 4 (2x-3) - 4x. Use distributive property: 4 (2x) - 4 (3) - 4x = 8x-12-4x = 4x-12. Now observe the answers. You can first eliminate a because you'll get the equation 4x-12=4x-12, which means x can be anything giving you an infinite amount of solutions. d is also not an option. Using distributive property, we find 4 (x-5) = 4x-4 (5) = 4x-20. The equation we get is 4x-12 = 4x-20, (or after subtracting 4x from each side, - 12 = - 20, which is not true), and this has no solution. There for, only b and c would work. (An easy way to do this problem is to find solutions that do not have 4 as the slope so that you only choose lines that are not parallel to 4x-12 [that means they don't intercept and have no solution] or the line that is on 4x-12 [meaning they're the same line and have infinite solutions].)