Answer
Yes
Work Step by Step
Two equations are equivalent when they have the same solution set — meaning they are true for exactly the same values of the variables involved.
For $$\frac{3x+2}{5}=7$$
Multiply both sides by $5$:
$$\frac{3x+2}{5}(5)=7(5)$$ $$3x+2=35$$
Subtract both by $-2$:
$$3x+2-2=35-2$$ $$3x=33$$
Divide both sides by $3$:
$$\frac{3x}{3}=\frac{33}{3}$$ $$x=11$$
For $$x+9=20$$
Subtract both sides by $9$:
$$x+9-9=20-9$$ $$x=11$$
Since the two equations have the same solution set, they are equivalent equations. Thus, the answer is yes.
