Problem

Solve the equation, and check your solution. See Examples.EXAMPLE Solving an Equation with...

Solve the equation, and check your solution. See Examples.

EXAMPLE Solving an Equation with Fractions as Coefficients

Solve .

Step 1 The LCD of all the fractions in the equation is 6.

Step 2

Step 3

Step 4

The solution, − 6, checks, so the solution set is {−6}.

EXAMPLE Solving an Equation with Fractions as Coefficients

Solve .

Step 1

Step 2

Step 3

Step 4 Check to confirm m that {−2} is the solution set.

EXAMPLE Solving an Equation with Decimals as Coefficients Solve 0.1/ + 0.05 (20 − t)= 0.09 (20).

Step 1 The decimals here are expressed as tenths (0.1) and hundredths (0.05 and 0.09). We choose the least exponent on 10 needed to eliminate the decimals. Here, we use 102 = 100.

Step 2

Step 3

Step 4 Check to confirm that {16} is the solution set.

0.2(60) + 0.05x = 0.1(60 + x)

Step-by-Step Solution

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