Question

Complete the two-column proof. Given:x5+9=11 Given: x 5 + 9 = 11 Prove x=10 Prove x = 10 x5+9=11 x 5 + 9 = 11 a._______ x5=2 x 5 = 2 b._______ x=10 x = 10 c._______

Answer 1

Given :
`(x)/(5)+9=11`

To prove : x = 10

Proof:

Statements Reasons

a.
`(x)/(5)+9=11` 1. Given

b.
`(x)/(5)=2` 2. Subtracting 9 on both sides

c.
`x=10` 3. Cross multiplication

Answer 2

Statement Reason

`(x)/(5) +9 = 11\\` Given

Subtract 9 from both the sides

`(x)/(5) +9-9 = 11-9\\` Subtracting same number will not affect equation

`(x)/(5)  = 2\\` Simplification

`(x)/(5)*5  = 2*5(\\` Multiplying by 5 both the sides

x= 10 By simplifying both the sides

Thus we solved the equation and got x =10 as answer.