When solving an equation, Drew's first step is shown below. Which property justifies Drew's first step?Original Equation:31x=−4First Step:x=−12associative property of additionmultiplication property of equalitysubtraction property of equalitycommutative property of multiplication
Q. When solving an equation, Drew's first step is shown below. Which property justifies Drew's first step?Original Equation:31x=−4First Step:x=−12associative property of additionmultiplication property of equalitysubtraction property of equalitycommutative property of multiplication
Verify Drew's Calculation: Drew's original equation is (31)x=−4. To isolate x, Drew multiplies both sides of the equation by 3. Let's perform the calculation to see if Drew's first step is correct.(31)x×3=−4×3x=−12
Identify Property of Equality: Now, let's identify the property of equality that justifies this step. Multiplying both sides of an equation by the same nonzero number does not change the equality, which is known as the Multiplication Property of Equality.