1. Equations & Inequalities

Solve each equation. See Example 1. (2x+5)/2 - 3x/(x-2) = x

Solve each equation. See Example 1. (4x+3)/4 - 2x/(x+1) = x

Solve each equation. See Example 1. x/(x-3) = 3/(x-3) + 3

Solve each equation. See Example 1. x/(x-4) = 4/(x-4) + 4

Solve each equation. See Example 1. 3/(x²+x-2) - 1/(x²-1) = 7/(2x²+6x+4)

Solve each equation. See Example 2. (4x+3)/(x+1) + 2/x = 1/(x²+x)

Solve each equation. See Example 2. x/(x-1) - 1/(x+1) = 2/(x²-1)

Solve each equation. See Example 2. (x+4)/2x = (x-1)/3

Solve each equation. See Example 2. 2x/(x-2) = 5 + 4x²/(x-2)

Solve each equation. See Example 2. 3x²/(x-1) + 2 = x/(x-1)

Solve each equation for the specified variable. (Assume all denominators are nonzero.) 1/R=1/r_1 + 1/r_2, for R

Solve each equation. 10/4x-4 = 1 /1-x

In Exercises 45–46, describe in words the variation shown by the given equation. z = kx^2 √y