Question

1. Three students solved the equation 3(5 x − 14) = 18 in different ways, but each student arrived at the correct answer. (photo 1)

Select all of the solutions that show a correct method for solving the equation.

2. Solve the equation. Indicate whether the equation below has no solution, one solution, or infinitely many solutions.
12x + 15 = 12x - 15

a. infinitely many solutions
b. no solution
c. one solution

3. Solve the equation. Indicate whether the equation below has no solution, one solution, or infinitely many solutions.
-5x - 25 = 5x + 25

a. no solution
b. infinitely many solutions
c. one solution

Answer 1

1. (hard to type out and cant see photo) 42.72=Answer
3(5x - 14)=18
3(5x)=25x
3(-14)= -42
25x - 42 = 18
25x divided by 25= x
-42+42=0
18 divided by 25=.72
.72+42=42.72

Answer 2

1. B and C

2. B
12x+15 = 12x - 15
12x + 15 - 12x = 12 - 15 -12x
15 = -15 which is not true
So option B.

3. C
-5x - 25 = 5x + 25
-5x - 5x = 25 + 25
-10x = 50
x = -5
It has single solution
So answer is C.


Hope it helps!