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)
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