Question

Cassandra says that equations A and B are not equivalent. Equation A: 13 – 5x = 48, Equation B: 5x = 35. Write a convincing explanation as to why this is true.

a) Equation A has no solution, while Equation B has a solution.
b) Equation A has one solution, while Equation B has no solution.
c) Equation A and Equation B have the same solution.
d) Equation A and Equation B have different solutions.

Answer 1

Equation A and Equation B have the same solution, x = 7.

Step-by-step explanation:

Equation A: 13 – 5x = 48

Equation B: 5x = 35

In equation A, you have to solve for x. Subtract 13 from both sides of the equation to isolate the variable: -5x = 35. Then divide both sides by -5 to solve for x: x = 7.

Equation B is already solved for x: 5x = 35, so divide both sides by 5 to find the value of x: x = 7.

Both equations have the same solution, x = 7, so Cassandra is incorrect. The correct option is c) Equation A and Equation B have the same solution.