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Chapter 1: Q.18. (page 28)

In Problems 17–36, solve each equation algebraically. Verify your solution using a graphing utility. $3 (2 - x) = 2 x - 1$

Short Answer

Expert verified

The value of X is $x = \frac{7}{5} (Decimal : x = 1.4)$

Step by step solution

01

Step 1. Given equation

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

02

Step 2. Solve the given equation

$3 (2 - x) = 2 x - 1 \Rightarrow 6 - 3 x = 2 x - 1 \Rightarrow - 5 x = - 1 - 6 \Rightarrow - 5 x = - 7 \Rightarrow x = \frac{7}{5} = 1.4$

03

Step 3.Graph of equations and value of x-intersection point.

x-intersection value is

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Most popular questions from this chapter

Graph the line containing the point P and having slope m.

$P (1, 3), m = - \frac{2}{5}$

Use the converse of the Pythagorean Theorem to show that a triangle whose sides are of lengths 11, 60, and 61 is a right triangle.

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

$x^{2} - 3 x - 28 = 0$

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

$P_{1} = (4, - 3); P_{2} = (6, 1)$

Graph the line containing the point P and having slope m.

$P (- 2, 0), m = u n d e f i n e d$

See all solutions

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