Question

1. jada and tyler were each trying to solve $7x - 4 = 5x - 5$. describe the first step they each made to the equation.

a the result of jada’s first step was $7x = 5x - 1$.
b the result of tyler’s first step was $7x + 1 = 5x$.

Explanation:

For part a: Compare the original equation $7x - 4 = 5x - 5$ to Jada's result $7x = 5x - 1$. To eliminate the $-4$ on the left, 4 is added to both sides: $7x - 4 + 4 = 5x - 5 + 4$, which simplifies to $7x = 5x - 1$.
For part b: Compare the original equation $7x - 4 = 5x - 5$ to Tyler's result $7x + 1 = 5x$. To eliminate the $-5$ on the right, 5 is added to both sides: $7x - 4 + 5 = 5x - 5 + 5$, which simplifies to $7x + 1 = 5x$.

Answer:

a. Add 4 to each side of the equation
b. Add 5 to each side of the equation