Question

Drag a statement or reason to each box to complete this proof.

If −6(x−4)=42, then x=−3

Statement Reason

1. Given

2.

3. x−4= −7 Simplifying

4. x−4+4= −7+4

5. x= −3 Simplifying

ANSWER CHOCIES

Simplifying, Addition Property of Equality, Division Property of Equality,
-6(x-4) = 42
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-6 -6 the = sign is suppose to be in the middle and the other -6 under 42. Also this is a choice to −6(x−4)=42

Answer 1

     Statements                                                  Reason

1. $-6(x-4)= 42$                                        Given

2. $\frac{-6(x-4)}{-6} = \frac{42}{-6}$       Division property of equality

" Division property of equality states that if we divide both sides of an equation by the same nonzero number, the equation remains equal".

3. $x-4 = -7$                                            Simplifying

4. $x-4+4 = -7+4$                                  Addition property of equality

"Addition property of equality states that if the same number is added to both sides of an equation, then the equality is still true".

5. $x = -3$                                               Simplifying

Therefore, the solution to the equation $-6(x-4)= 42$ is x = -3.