Question

Equations with variables on both sides: decimals and fractions, algebra 2 0.5s + 1 = 7 + 4.5s

Answer 1

Final Answer: $s = -\frac{3}{2}$

Steps/Reasons/Explanation:

Question: Equations with variables on both sides: decimals and fractions, algebra 2. $0.5s + 1 = 7 + 4.5s$.

Step 1: Subtract $0.5$ from both sides.

$1 = 7 + 4.5s - 0.5s$

Step 2: Simplify $7 + 4.5s - 0.5s$ to $7 + 4s$.

$1 = 7 + 4s$

Step 3: Subtract $7$ from both sides.

$1 - 7 = 4s$

Step 4: Simplify $1 - 7$ to $-6$.

$-6 = 4s$

Step 5: Divide both sides by $4$.

$-\frac{6}{4} = s$

Step 6: Simplify $\frac{6}{4}$ to $\frac{3}{2}$.

$-\frac{3}{2} = s$

Step 7: Switch sides.

$s = -\frac{3}{2}$

~I hope I helped you :)~