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

Statement                                         Reason

$\frac{x}{5} +9 = 11$              Given

Subtract 9 from both the sides

$\frac{x}{5} +9-9 = 11-9$          Subtracting same number will not        affect equation

$\frac{x}{5} = 2$                           Simplification

$\frac{x}{5}*5 = 2*5($                   Multiplying by 5 both the sides

x= 10                                                           By simplifying both the sides

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

Answer 2

Answer:

Given : $\frac{x}{5}+9=11$

To prove : x = 10

Proof:

      Statements                                  Reasons

a. $\frac{x}{5}+9=11$             1. Given

b. $\frac{x}{5}=2$                  2. Subtracting 9 on both sides

c. $x=10$                               3. Cross multiplication