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Setler [38]
3 years ago
7

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._______
Mathematics
2 answers:
avanturin [10]3 years ago
6 0

<u>Statement  </u>                                       <u>Reason</u>

<u>\frac{x}{5} +9 = 11\\          </u>    Given

Subtract 9 from both the sides

<u>\frac{x}{5} +9-9 = 11-9\\</u><u>       </u>    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.


asambeis [7]3 years ago
6 0

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

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