Math Problem Statement

Solve the following equations: (-x + 8) / 10 = -7 and (-4/5)x + 7 = -13

Solution

The image contains two mathematical equations. Let's solve each one step by step:

Equation 1:

x+810=7\frac{-x + 8}{10} = -7

To solve for xx:

  1. Multiply both sides of the equation by 10 to eliminate the denominator: x+8=7×10-x + 8 = -7 \times 10 x+8=70-x + 8 = -70

  2. Subtract 8 from both sides: x=708-x = -70 - 8 x=78-x = -78

  3. Multiply both sides by 1-1 to solve for xx: x=78x = 78

So, the solution for the first equation is x=78x = 78.


Equation 2:

45x+7=13-\frac{4}{5}x + 7 = -13

To solve for xx:

  1. Subtract 7 from both sides: 45x=137-\frac{4}{5}x = -13 - 7 45x=20-\frac{4}{5}x = -20

2

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Algebra

Formulas

Multiplication and Division of both sides to isolate x
Simplification

Theorems

Basic properties of equality

Suitable Grade Level

Grades 7-9