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Chapter 1: Q77. (page 27)

If $- 6 x + 10 = 17$ , then $3 x - 5 =$
A. $- \frac{7}{6}$
B. $- \frac{17}{2}$
C. 2
D. $\frac{19}{3}$
E. $\frac{5}{3}$

Short Answer

Expert verified

The correct option is $- \frac{17}{2}$ .

Step by step solution

01

Step 1- Observe the provided equation

The expression is half of the left side of the complete equation with opposite signs.

02

– Determine the required value

Perform division of $- 2$ on both sides of the provided equation.

$\begin{matrix} \frac{鈭� 6 x}{鈭� 2} + \frac{10}{鈭� 2} = \frac{17}{鈭� 2} \\ 3 x 鈭� 5 = 鈭� \frac{17}{2} \end{matrix}$

03

Step 3- Make the conclusion

As the provided expression is equivalent to the number $- \frac{17}{2}$ so it is the correct option.

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Most popular questions from this chapter

Name the property illustrated by each equation.

$- 6 x y + 0 = - 6 x y$

Evaluate each expression if $w = 6, x = 0.4, y = \frac{1}{2},$ and $z = - 3$

$\frac{5 w x}{z}$

Find the value of each expression

$\frac{45 (4 + 32)}{10}$

Write an equation whose solution is $- 7$ .

Simplify each expression

14. $9 p - 2 n + 4 p + 2 n$

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