Examkin

Question

Difficulty: EasySolving One-Variable Linear Equations

Find the value of tt that satisfies the linear equation below.

Answer:t3+8=15 \frac{t}{3} + 8 = 15

The value of tt is 【21】.

Answer

21
To find the value of tt, you must apply inverse operations to isolate the variable. First, subtract 8 from both sides to get t/3=7t/3 = 7. Then, multiply both sides by 3 to eliminate the fraction, which gives the final solution t=21t = 21.

Step-by-Step Solution

1
Isolate the fraction term by subtracting 8 from both sides of the equation.
t3=15−8 \frac{t}{3} = 15 - 8
t3=7 \frac{t}{3} = 7
To solve for a variable, you must reverse the order of operations. Addition is reversed first using subtraction to isolate the term containing the variable.
2
Solve for tt by multiplying both sides of the equation by 3.
t=7×3 t = 7 \times 3
t=21 t = 21
Multiplying by the denominator cancels out the fraction, leaving the variable tt by itself.

Key Concept

Solving two-step linear equations using inverse operations.
Rate this question

Topics

Solving One-Variable Linear Equations

More questions from this topic