Question

Match each equation with a step to write an equivalent equation that leaves the fewest steps to solve for y.

CLEAR CHECK
2+2y=y
5(y−4)=2y

Answer 1

To write an equivalent equation that leaves the fewest steps to solve for y in the given equations, the process involves simplifying and rearranging the expressions. For the equation 2+2y=y, subtract y from both sides and divide by 2. For the equation 5(y−4)=2y, distribute 5 to the terms inside the parentheses, simplify, and isolate y.

Step-by-step explanation:

To write an equivalent equation that leaves the fewest steps to solve for y in the given equations, we need to simplify and rearrange the expressions.

1. For the equation 2+2y=y, we can start by subtracting y from both sides to get 2y = -2. Then, divide both sides by 2 to isolate y, giving us y = -1.
2. For the equation 5(y−4)=2y, we can start by distributing the 5 to both terms inside the parentheses to get 5y - 20 = 2y. Next, subtract 2y from both sides to get 3y - 20 = 0. Finally, add 20 to both sides to isolate y and obtain 3y = 20. Thus, we have

• 2+2y=y --> y = -1
• 5(y−4)=2y --> y = 20/3

Learn more about Simplifying equations to solve for y