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Chapter 1: Q. 1 (page 23)

Solve: $2 (x + 3) - 1 = - 7$

Short Answer

Expert verified

The solution set is $\{- 6\}$ .

Step by step solution

01

Given information:

Consider the equation,

$2 (x + 3) - 1 = - 7$

02

Step 2:

Use the Distributive property:

$2 x + 6 - 1 = - 7$

$2 x + 5 = - 7$

03

Step 3:

Add $(- 5)$ on both sides,

$2 x + 5 - 5 = - 7 - 5$

$2 x = - 12$

04

Step 4:

Divide by 2 on both sides,

$\frac{2 x}{2} = \frac{- 12}{2} x = - 6$

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Most popular questions from this chapter

Find the midpoint of the line segment joining the points P₁ and P₂ .

$P_{1} = (3, - 4); P_{2} = (5, 4)$

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

$5 x^{2} = 13 x + 6$

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

$(4, 2); (- 5, 2)$

Plot each point. Then plot the point that is symmetric to it with respect to -

(a) the x-axis

(b) the y-axis

(c) the origin

Point (3, 4)

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

$(- 1, 1); (2, 3)$

See all solutions

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