Scelta multipla
Solve the given linear equation using multiplication and division properties of equality.
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2. Linear Equations and Inequalities
The Multiplication and Division Properties of Equality
Scelta multipla
Solve the given linear equation using multiplication and division properties of equality.
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Start with the given linear equation: \(-8x = 64\).
To isolate \(x\), use the multiplication property of equality by multiplying both sides of the equation by the reciprocal of \(-8\), which is \(-\frac{1}{8}\).
Multiply both sides: \(\left(-\frac{1}{8}\right)(-8x) = \left(-\frac{1}{8}\right)(64)\).
Simplify the left side: \(\left(-\frac{1}{8}\right)(-8x) = x\) because \(-\frac{1}{8} \times -8 = 1\).
Simplify the right side by multiplying \(64\) by \(-\frac{1}{8}\) to find the value of \(x\).
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