1. Points A and B are to be mapped onto a number line according to two equations. The solution to the equation 3x – 6 = 9 is the coordinate of point A. The solution to the equation 2x + 18 = -2 is the coordinate of point B.
(a) Solve the first equation to find the coordinate of point A. Show your work.
(b) Solve the second equation to find the coordinate of point B. Show your work.
(c) Determine the distance between points A and B. Explain.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

d

step-by-step explanation: