Question

1. solve each of the following equations for x. then, circle the equations that are equivalent.

a. 2x + 10 = 30
b. $\frac{x}{5}=2$
c. 6x = 18

Explanation:

Step1: Solve equation a

Subtract 10 from both sides: $2x+10 - 10=30 - 10$, so $2x = 20$. Then divide both sides by 2: $x=\frac{20}{2}=10$.

Step2: Solve equation b

Multiply both sides by 5: $x = 2\times5=10$.

Step3: Solve equation c

Divide both sides by 6: $x=\frac{18}{6}=3$.

Step4: Find equivalent equations

Equations a and b have the same solution $x = 10$, so they are equivalent.

Answer:

a. $x = 10$
b. $x = 10$
c. $x = 3$
Equivalent equations: a and b