2. Linear Equations and Inequalities

The Multiplication and Division Properties of Equality

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Multiple Choice

Solve the given linear equation using multiplication and division properties of equality.
$- \frac{126}{14} = 3 y$

$y=27$

$y=-27$

$y=3$

$y=-3$

Verified step by step guidance

Start with the given equation: $-\frac{126}{14} = 3y$.

Simplify the fraction on the left side by dividing 126 by 14, so the equation becomes $-9 = 3y$.

To isolate $y$, use the division property of equality by dividing both sides of the equation by 3: $\frac{-9}{3} = \frac{3y}{3}$.

Simplify both sides: the right side simplifies to $y$, and the left side simplifies to $-3$.

Therefore, the solution to the equation is $y = -3$.

Master Multiplication and Division Properties of Equality with a bite sized video explanation from Patrick Ford

Solve the given linear equation using multiplication and division properties of equality.−12614=3y-\frac{126}{14}=3y