QuestionDecember 17, 2025

Problem 1 Solve. a. (2)/(5)t=6 b. -4.5=a-8 c. (1)/(2)+p=-3 d. 12=xcdot 3 e. -12=-3y

Problem 1 Solve. a. (2)/(5)t=6 b. -4.5=a-8 c. (1)/(2)+p=-3 d. 12=xcdot 3 e. -12=-3y
Problem 1 Solve. a. (2)/(5)t=6 b. -4.5=a-8 c. (1)/(2)+p=-3 d. 12=xcdot 3 e. -12=-3y

Solution
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Answer

a. t = 15 b. a = 3.5 c. p = -3.5 d. x = 4 e. y = 4 Explanation 1. Isolate the variable in each equation a. Multiply both sides by 5/2: t = 6 \cdot \frac{5}{2} b. Add 8 to both sides: a = -4.5 + 8 c. Subtract 1/2 from both sides: p = -3 - \frac{1}{2} d. Divide both sides by 3: x = \frac{12}{3} e. Divide both sides by -3: y = \frac{-12}{-3} 2. Calculate each solution a. t = 15 b. a = 3.5 c. p = -3.5 d. x = 4 e. y = 4

Explanation

1. Isolate the variable in each equation<br /> a. Multiply both sides by $5/2$: $t = 6 \cdot \frac{5}{2}$<br /> b. Add $8$ to both sides: $a = -4.5 + 8$<br /> c. Subtract $1/2$ from both sides: $p = -3 - \frac{1}{2}$<br /> d. Divide both sides by $3$: $x = \frac{12}{3}$<br /> e. Divide both sides by $-3$: $y = \frac{-12}{-3}$<br /><br />2. Calculate each solution<br /> a. $t = 15$<br /> b. $a = 3.5$<br /> c. $p = -3.5$<br /> d. $x = 4$<br /> e. $y = 4$
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