Question

solve the equation: $\frac{3}{5}x + 2 = 5$
a. $x = 6$
b. $x = 5$
c. $x = 4$
d. $x = 3$
solve the equation: $\frac{6}{7}x + 1.5 = 4.5$
a. $x = 3$
b. $x = 3.5$
c. $x = 5$
d. $x = 2$

Explanation:

First Equation: $\boldsymbol{\frac{3}{5}x + 2 = 5}$

Step1: Subtract 2 from both sides

$\frac{3}{5}x + 2 - 2 = 5 - 2$
$\frac{3}{5}x = 3$

Step2: Multiply both sides by $\frac{5}{3}$

$\frac{5}{3} \times \frac{3}{5}x = 3 \times \frac{5}{3}$
$x = 5$ Wait, no, wait: $3\times\frac{5}{3}=5$? Wait, no, $3\div\frac{3}{5}=3\times\frac{5}{3}=5$? Wait, no, let's recalculate. Wait, $\frac{3}{5}x = 3$, so $x = 3 \div \frac{3}{5} = 3 \times \frac{5}{3} = 5$? But the options are a.6, b.5, c.4, d.3. So b is $x=5$. Wait, but let's check again. $\frac{3}{5}x + 2 = 5$. Subtract 2: $\frac{3}{5}x = 3$. Then $x = 3 \times \frac{5}{3} = 5$. So the correct option is b. $x = 5$.

Second Equation: $\boldsymbol{\frac{6}{7}x + 1.5 = 4.5}$

Step1: Subtract 1.5 from both sides

$\frac{6}{7}x + 1.5 - 1.5 = 4.5 - 1.5$
$\frac{6}{7}x = 3$

Step2: Multiply both sides by $\frac{7}{6}$

$\frac{7}{6} \times \frac{6}{7}x = 3 \times \frac{7}{6}$
$x = \frac{21}{6} = 3.5$

So for the first equation, the answer is b. $x = 5$; for the second equation, the answer is b. $x = 3.5$.

Answer:

s:

1. For $\frac{3}{5}x + 2 = 5$: b. $x = 5$
2. For $\frac{6}{7}x + 1.5 = 4.5$: b. $x = 3.5$