Question

6. Complete the two-column proof.

Answer 1

Answer:

Given: $\frac{x}{6} + 2 = 15$                             ......[1]

To prove : x =78

Subtraction property states that you subtract the same number to both sides of an equation.

Subtract 2 from both sides of an equation [1];

$\frac{x}{6} + 2 - 2= 15 -2$

Simplify:

$\frac{x}{6} = 13$                                             ......[2]

Multiplication property states that you multiply the same number to both sides of an equation.

Multiply 6 to both sides of an equation [2];

$\frac{x}{6} \times 6 = 13 \times 6$

Simplify:

$x = 78$                      proved!

Statement                                           Reason

1.  $\frac{x}{6} + 2 = 15$                 Given

2.  $\frac{x}{6} = 13$                 Subtraction property of equality

3. $x = 78$                              Multiplication property of equality

Answer 2

For the answer to the question in the given equation above, substitute 78 for X because a quantity can be substituted for it's equal. 

78/6 + 2 = 15, 
13 + 2 = 15,Therefore 
15 = 15.I hope my answer and solution helped you in your problem. Have a nice day!