1. Equations & Inequalities

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. 2/x + 1/2 = 3/4

In Exercises 71–78, solve each equation. Then determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 5x + 7 = 2x + 7

Solve the equation. $\frac{2x+4}{x-1}=5$

Solve the equation. $\frac{5}{x}-\frac{2}{3x}=4+\frac{3}{x}$

Solve the equation. $\frac{-5}{x+4}-3=\frac{x-1}{x+4}$

Solve and check each linear equation. 3(x - 1) = 21

Solve and check each linear equation. x - 5(x + 3) = 13

In Exercises 1–26, solve and check each linear equation. 3(x - 8) = x

Solve and check each linear equation. 2(x - 1) + 3 = x - 3(x + 1)

Solve and check each linear equation. 25 - [2 + 5y - 3(y + 2)] = - 3(2y - 5) - [5(y - 1) - 3y + 3]

Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 2x/3 = 6 - x/4

Exercises 27–40 contain linear equations with constants in denominators. Solve each equation. 20 - x/3 = x/2