1. Equations & Inequalities

Exercises 27–40 contain linear equations with constants in denominators. Solve each equation.3x/5 = 2x/3 + 1

Determine whether each equation is an identity, a conditional equation, or a contradic-tion. Give the solution set. 1/2(6x+20) = x+4 +2(x+3)

In Exercises 1–34, solve each rational equation. If an equation has no solution, so state.3y/(y²+5y+6) + 2/(y²+y−2) = 5y/(y²+2y−3)

In Exercises 25-38, solve each equation.(x + 3)/6 = 2/3 + (x - 5)/4

Determine whether each equation is an identity, a conditional equation, or a contradic-tion. Give the solution set. 2(x-8) = 3x-16

In Exercises 15–35, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 3-5(2x + 1) - 2(x-4) = 0

In Exercises 25-38, solve each equation.x/4 =2 +(x-3)/3

Exercises 27–40 contain linear equations with constants in denominators. Solve each equation.(x + 3)/6 = 3/8 + (x - 5)/4

Exercises 27–40 contain linear equations with constants in denominators. Solve each equation.5 + (x - 2)/3 = (x + 3)/8

Determine whether each equation is an identity, a conditional equation, or a contradic-tion. Give the solution set. -0.6(x-5)+0.8(x-6) = 0.2x - 1.8

Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator. I=Prt,for P (simple interest)

Exercises 27–40 contain linear equations with constants in denominators. Solve each equation.3x/5 - (x - 3)/2 = (x + 2)/3

Exercises 41–60 contain rational equations with variables in denominators. For each equation, a. write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind, solve the equation.4/x = 5/2x + 3

Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator. P=2l+2w,for w (perimeter of a rectangle)

Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator. F = GMm/r², for m (force of gravity)