Chapter 1: Q19. (page 51)

Solve each equation. Check your solution.
$5 t - 3 = - 2 t + 10$

Short Answer

Expert verified

The solution of the given equation is $\frac{13}{7}$ .

Step by step solution

– Description of step.

Add 3 on both the sides of the given equation.

\begin{matrix} 5 t - 3 + 3 = - 2 t + 10 + 3 \\ 5 t = - 2 t + 13 \end{matrix}

– Description of step.

Add $2 t$ on both the sides of the obtained equation in step 1.

\begin{matrix} 5 t + 2 t = - 2 t + 13 + 2 t \\ 7 t = 13 \end{matrix}

– Description of step.

Divide each side of the equation in step 2.

\begin{matrix} \frac{7 t}{7} = \frac{13}{7} \\ t = \frac{13}{7} \end{matrix}

– Description of step.

To check whether the obtained value of $t$ is the solution of given equation, substitute $\frac{13}{7}$ for $t$ into $5 t - 3 = - 2 t + 10$ and simplify.

$\begin{matrix} 5 (\frac{13}{7}) - 3 = - 2 (\frac{13}{7}) + 10 \\ \frac{65}{7} - 3 \overset{?}{=} \frac{- 26}{7} + 10 \\ \frac{44}{7} \overset{?}{=} \frac{44}{7} \\ \frac{44}{7} = \frac{44}{7} \end{matrix}$

Therefore, the solution of the given equation is $\frac{13}{7}$ .

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Solve each equation. Check your solution.
$5 t - 3 = - 2 t + 10$

Short Answer

Step by step solution

– Description of step.

– Description of step.

– Description of step.

– Description of step.

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Solve each equation. Check your solution.5t-3=-2t+10

Short Answer

Step by step solution

– Description of step.

– Description of step.

– Description of step.

– Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Pure Maths

Decision Maths

Geometry

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Solve each equation. Check your solution.
$5 t - 3 = - 2 t + 10$