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  1. Complete the two-column proof.

Given:x/6+2=15

Prove: x = 78

Statement: x/6+2=15 Reason: A:

x/6=13 B:

x=78 C:

Verified Answer :

MissPhiladelphia

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!

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

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