alleryStart learning →Solve: a + 3/4 = (3/8)a - 1/2.
Aa = 2
Ba = -10
Ca = -2
Da = 10
Answer & Solution
Correct answer: C. a = -2
1. Find the LCD of the fractions three-fourths, three-eighths, and one-half, which is 8.
2. Multiply every term on both sides by 8 to clear the fractions: 8a plus 6 equals 3a minus 4.
3. Subtract 3a from both sides and subtract 6 from both sides to get 5a equals -10.
4. Divide both sides by 5 to get a equals -2, and checking confirms -2 plus three-fourths equals three-eighths of -2 minus one-half.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.5 Solve Equations with Fractions or Decimals_
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