Home › NY Regents Algebra I › Mathematics › Solving Linear Equations and Inequalities › Solve: (3/4)x = 12.
Solve: (3/4)x = 12.
Ax=16
Bx=9
Cx=36
Dx=4
Answer & Solution
Correct answer: A. x=16
1. Multiply both sides by four-thirds, the reciprocal of three-fourths.
2. Four-thirds times three-fourths equals 1, leaving x isolated on the left.
3. On the right, four-thirds times 12 equals 16.
4. Check: three-fourths times 16 equals 12, matching the original equation.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.2 Solve Equations using the Division and Multiplication Properties of Equality_
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