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Chapter 3: Q.61 (page 112)

$\frac{3 x + 4}{2} + 1 = \frac{5 x + 8}{8}$

Short Answer

Expert verified

The value of $x = - \frac{16}{7}$

Step by step solution

- The given information

$\frac{3 x + 4}{2} + 1 = \frac{5 x + 8}{8}$

Step 2

$\frac{3 x + 4}{2} + 1 = \frac{5 x + 8}{8} 鈬� \frac{3 x + 4}{2} - \frac{5 x + 8}{8} = - 1 鈬� \frac{4 (3 x + 4) - (5 x + 8)}{8} = - 1 鈬� \frac{12 x + 16 - 5 x - 8}{8} = - 1 鈬� 7 x + 8 = - 8 鈬� 7 x = - 16 鈬� x = - \frac{16}{7}$

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Most popular questions from this chapter

13: Graph each system of inequalities. Name the coordinates of the vertices of the feasible region. Find the maximum and minimum value of the function.

$\begin{matrix} 5 鈮� y 鈮� - 3 \\ 4 x + y 鈮� 5 \\ - 2 x + y 鈮� 5 \end{matrix}$

Solve each system of equations.

$\begin{array}{l} 2 x 鈭� y + z = 1 \\ x + 2 y 鈭� 4 z = 3 \\ 4 x + 3 y 鈭� 7 z = 鈭� 8 \end{array}$

$\frac{1}{2} (x + 4) = \frac{3}{4}$

11: Solve each system of inequalities by graphing.

$\begin{matrix} x + 2 y 鈮� 7 \\ 3 x - 4 y > 12 \end{matrix}$

Solve each equation. Check your solution.

$69 . |k + 7| = 3 k - 11$

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3x+42+1=5x+88

Short Answer

Step by step solution

- The given information

Step 2

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$\frac{3 x + 4}{2} + 1 = \frac{5 x + 8}{8}$