Question

Solve this equation: –3(x – 14) + 9x = 6x + 42

Solving this equation results in the statement 0 = 0. Because this is a true statement, the equation has a unique solution.

Solving this equation results in the statement 6 = 0. Because this is a false statement, the equation has infinitely many solutions.

Solving this equation results in the statement 0 = 0. Because this is a true statement, the equation has infinitely many solutions.

Solving this equation results in the statement 6 = 0. Because this is a true statement, the equation has no solution.

Answer 1

Answer:

-3(x + -14) + 9x = 6x + 42

Reorder the terms:

-3(-14 + x) + 9x = 6x + 42

(-14 * -3 + x * -3) + 9x = 6x + 42

(42 + -3x) + 9x = 6x + 42

Combine like terms: -3x + 9x = 6x

42 + 6x = 6x + 42

Reorder the terms:

42 + 6x = 42 + 6x

Add '-42' to each side of the equation.

42 + -42 + 6x = 42 + -42 + 6x

Combine like terms: 42 + -42 = 0

0 + 6x = 42 + -42 + 6x

6x = 42 + -42 + 6x

Combine like terms: 42 + -42 = 0

6x = 0 + 6x

6x = 6x

Add '-6x' to each side of the equation.

6x + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0

0 = 6x + -6x

Combine like terms: 6x + -6x = 0

0 = 0

Answer 2

Answer:

Solving this equation results in the statement 0 = 0. Because this is a true statement, the equation has infinitely many solutions.

Step-by-step explanation: