Q19. Solve each equation. Check your ... [FREE SOLUTION]

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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 鈭� 3 + 3 = 鈭� 2 t + 10 + 3 \\ 5 t = 鈭� 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 = 鈭� 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.

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

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

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Year	Average CPI
1950	42.1
1960	29.6
1970	38.8
1980	82.4
1990	130.7
2000	174.0

91影视

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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91影视

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

Discrete Mathematics

Geometry

Decision Maths

Theoretical and Mathematical Physics

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

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