Home › NY Regents Algebra I › Mathematics › Solving Linear Equations and Inequalities › Solve: x - 5/8 = 3/4.
Solve: x - 5/8 = 3/4.
Ax=1/8
Bx=-1/8
Cx=11/8
Dx=17/8
Answer & Solution
Correct answer: C. x=11/8
1. To isolate x, add five-eighths to both sides using the Addition Property of Equality.
2. Rewrite three-fourths with a denominator of 8: three-fourths equals six-eighths.
3. Add the fractions on the right: six-eighths plus five-eighths equals eleven-eighths.
4. The solution is x equals eleven-eighths, and checking confirms eleven-eighths minus five-eighths equals six-eighths, which equals three-fourths.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality_
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