Home › NY Regents Algebra I › Mathematics › Solving Linear Equations and Inequalities › Solve: (1/6)y - 1/3 = 5/6.
Solve: (1/6)y - 1/3 = 5/6.
Ay=7
By=5
Cy=3
Dy=42
Answer & Solution
Correct answer: A. y=7
1. Find the LCD of the fractions, which is 6.
2. Multiply every term on both sides by 6 to clear the fractions: y minus 2 equals 5.
3. Add 2 to both sides to get y equals 7.
4. Check: one-sixth of 7, minus one-third, equals seven-sixths minus two-sixths, which equals five-sixths.
_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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