alleryStart learning →Solve: 8/15 = -(4/5)x.
Ax=2/3
Bx=-2/3
Cx=-3/2
Dx=3/2
Answer & Solution
Correct answer: B. x=-2/3
1. Multiply both sides by negative five-fourths, the reciprocal of negative four-fifths.
2. Negative five-fourths times negative four-fifths equals 1, leaving x isolated.
3. On the left, eight-fifteenths times negative five-fourths simplifies to negative two-thirds.
4. Check: negative four-fifths times negative two-thirds equals eight-fifteenths, 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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