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Chapter 6: Problem 92

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. \(-4 y+4=-4(y+4)\)

Short Answer

Expert verified
The original equation \(-4 y+4=-4(y+4)\) is false. It can be made true by changing the equation to \(-4 y - 4= -4(y+4)\)

Step by step solution

01

Distribute

Begin by distributing the \(-4\) on the right side of the equation. This results in \(-4*y - 4\). So, the equation becomes \(-4 y+4 = -4y -4\)
02

Compare sides

Next, compare the left and the right side of the equation. You can notice that while variables with their coefficients are the same on both sides, constants are different. The left side of the equation has a \(+4\) while the right side has a \(-4\). So, the two sides of the equation are not equivalent.
03

Correct the equation

The equation can be corrected by changing the \(+4\) on the left side to \(-4\). This will result in the new statement \(-4 y - 4= -4(y+4)\)

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