1. Equations & Inequalities

In Exercises 71–78, solve each equation. Then determine whether the equation is an identity, a conditional equation, or an inconsistent equation.10x + 3 = 8x + 3

The equations in Exercises 79–90 combine the types of equations we have discussed in this section. Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation.4/(x - 2) + 3/(x + 5) = 7/(x + 5)(x - 2)

The equations in Exercises 79–90 combine the types of equations we have discussed in this section. Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation.4x/(x + 3) - 12/(x - 3) = (4x^2 + 36)/(x^2 - 9)

The equations in Exercises 79–90 combine the types of equations we have discussed in this section. Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation.4/(x^2 + 3x - 10) - 1/(x^2 + x - 6) = 3/(x^2 - x - 12)

Retaining the Concepts. Solve and determine whether 8(x - 3) + 4 = 8x - 21 is an identity, a conditional equation, or an inconsistent equation.

Evaluate x^2 - x for the value of x satisfying 4(x - 2) + 2 = 4x - 2(2 - x).

In Exercises 99–106, solve each equation.[(3 + 6)^2 ÷ 3] × 4 = - 54 x

In Exercises 99–106, solve each equation.5 - 12x = 8 - 7x - [6 ÷ 3(2 + 5^3) + 5x]

In Exercises 99–106, solve each equation.0.7x + 0.4(20) = 0.5(x + 20)

In Exercises 99–106, solve each equation.4x + 13 - {2x - [4(x - 3) - 5]} = 2(x - 6)

Solve: 9(x − 1) = 1 + 3(x−2).(Section 1.4, Example 3)

What is an identity equation? Give an example.

What is a conditional equation? Give an example.

What is an inconsistent equation? Give an example.

Find b such that (7x + 4)/b + 13 = x has a solution set given by {- 6}.