Answer :
### 5. Solve for [tex]\( x \)[/tex]:
Given the equation:
[tex]\[ 5 = 3x + 9 \][/tex]
To solve for [tex]\( x \)[/tex], follow these steps:
1. Subtract 9 from both sides:
[tex]\[ 5 - 9 = 3x \][/tex]
Simplifying the left side:
[tex]\[ -4 = 3x \][/tex]
2. Divide both sides by 3 to isolate [tex]\( x \)[/tex]:
[tex]\[ x = \frac{-4}{3} \][/tex]
Thus, the solution for [tex]\( x \)[/tex] is:
[tex]\[ x = \frac{-4}{3} \][/tex]
### 6. Solve for [tex]\( y \)[/tex]. Explain all steps.
Given the equation:
[tex]\[ \frac{y}{3} - 8 = -15 \][/tex]
To solve for [tex]\( y \)[/tex], follow these steps:
1. Add 8 to both sides to isolate the term containing [tex]\( y \)[/tex]:
[tex]\[ \frac{y}{3} - 8 + 8 = -15 + 8 \][/tex]
Simplifying both sides:
[tex]\[ \frac{y}{3} = -7 \][/tex]
2. Multiply both sides by 3 to clear the denominator:
[tex]\[ y = -7 \times 3 \][/tex]
Simplifying:
[tex]\[ y = -21 \][/tex]
Thus, the solution for [tex]\( y \)[/tex] is:
[tex]\[ y = -21 \][/tex]
### 7. Solve for [tex]\( y \)[/tex]. Round your answer to the nearest tenth and explain all steps.
Given the equation:
[tex]\[ -3 = 15 + 4y \][/tex]
To solve for [tex]\( y \)[/tex], follow these steps:
1. Subtract 15 from both sides to isolate the term containing [tex]\( y \)[/tex]:
[tex]\[ -3 - 15 = 4y \][/tex]
Simplifying both sides:
[tex]\[ -18 = 4y \][/tex]
2. Divide both sides by 4 to isolate [tex]\( y \)[/tex]:
[tex]\[ y = \frac{-18}{4} \][/tex]
Simplifying:
[tex]\[ y = -4.5 \][/tex]
Thus, rounding [tex]\(-4.5\)[/tex] to the nearest tenth is already done:
[tex]\[ y = -4.5 \][/tex]
Given the equation:
[tex]\[ 5 = 3x + 9 \][/tex]
To solve for [tex]\( x \)[/tex], follow these steps:
1. Subtract 9 from both sides:
[tex]\[ 5 - 9 = 3x \][/tex]
Simplifying the left side:
[tex]\[ -4 = 3x \][/tex]
2. Divide both sides by 3 to isolate [tex]\( x \)[/tex]:
[tex]\[ x = \frac{-4}{3} \][/tex]
Thus, the solution for [tex]\( x \)[/tex] is:
[tex]\[ x = \frac{-4}{3} \][/tex]
### 6. Solve for [tex]\( y \)[/tex]. Explain all steps.
Given the equation:
[tex]\[ \frac{y}{3} - 8 = -15 \][/tex]
To solve for [tex]\( y \)[/tex], follow these steps:
1. Add 8 to both sides to isolate the term containing [tex]\( y \)[/tex]:
[tex]\[ \frac{y}{3} - 8 + 8 = -15 + 8 \][/tex]
Simplifying both sides:
[tex]\[ \frac{y}{3} = -7 \][/tex]
2. Multiply both sides by 3 to clear the denominator:
[tex]\[ y = -7 \times 3 \][/tex]
Simplifying:
[tex]\[ y = -21 \][/tex]
Thus, the solution for [tex]\( y \)[/tex] is:
[tex]\[ y = -21 \][/tex]
### 7. Solve for [tex]\( y \)[/tex]. Round your answer to the nearest tenth and explain all steps.
Given the equation:
[tex]\[ -3 = 15 + 4y \][/tex]
To solve for [tex]\( y \)[/tex], follow these steps:
1. Subtract 15 from both sides to isolate the term containing [tex]\( y \)[/tex]:
[tex]\[ -3 - 15 = 4y \][/tex]
Simplifying both sides:
[tex]\[ -18 = 4y \][/tex]
2. Divide both sides by 4 to isolate [tex]\( y \)[/tex]:
[tex]\[ y = \frac{-18}{4} \][/tex]
Simplifying:
[tex]\[ y = -4.5 \][/tex]
Thus, rounding [tex]\(-4.5\)[/tex] to the nearest tenth is already done:
[tex]\[ y = -4.5 \][/tex]
