Question

Complete the two-column proof.

Given: x/6 + 2 =15
Prove: x = 78
X/6 + 2 =15 a. __________
x/6= 13 b. __________
x = 78 c. ___________

Answer 1

This is proved with two property of equality subtraction and multipication property.

Explanation:

Given
`(x)/(6) + 2 = 15`

By subtraction property of equality

`(x)/(6) +2 - 2 = 15 - 2`

⇒
`(x)/(6) = 13`

Now by multiplication property

x = 13(6) = 78

Hence the result.

Answer 2

`(x)/(6) + 2 = 15` ⇒ Start with equality property


`(x)/(6)=13` ⇒ Using the subtraction/addition property to subtract 2 from both sides


`x = 78` ⇒ Using the multiplication property (multiply both sides by 6)

x = 78