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Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset Vaia Explanations$ Math

Common Core Edition · 183 pages

ISBN: 9780547587776

Chapter 10: Q2. (page 536)

Solve the equation.
$15 = 2 x - 7$

Short Answer

Expert verified

The value of x is 11.

Step by step solution

01

Step 1. Given Information.

The given equation is $15 = 2 x - 7$ .

02

Step 2. Calculation.

Solve the given equation by shifting the variables from left hand side to right hand side.

$\begin{matrix} 2 x = 15 + 7 \\ 2 x = 22 \end{matrix}$

Cross multiplying the values

$\begin{matrix} x = \frac{22}{2} \\ = 11 \end{matrix}$

Hence, the solution of the equation is $x = 11$ .

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Most popular questions from this chapter

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. Using this theorem, determine if the given side lengths for a triangle. Explain your reasoning.

$4, 5, 10$ b. $4, 5, 9$ c. $4, 5, 7$

Plot the points $A (6, 3), B (- 3, 9),$ and $C (- 3, - 3)$ in a coordinate plane. Connect the points to form a triangle. Use the distance formula to find the side lengths. Then classify the triangle by its side lengths.

Find the value of x. Then classify the triangle by its angle measures.

Find the value of x. Then classify the triangle by its angle measures.

Solve the equation.

- 9 - 4 y = 19

See all solutions

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