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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._______

Respuesta :

Statement                                         Reason

[tex]\frac{x}{5} +9 = 11\\[/tex]              Given

Subtract 9 from both the sides

[tex]\frac{x}{5} +9-9 = 11-9\\[/tex]          Subtracting same number will not        affect equation

[tex]\frac{x}{5}  = 2\\[/tex]                           Simplification

[tex]\frac{x}{5}*5  = 2*5(\\[/tex]                   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:

Given : [tex]\frac{x}{5}+9=11[/tex]

To prove : x = 10

Proof:

      Statements                                  Reasons

a. [tex]\frac{x}{5}+9=11[/tex]             1. Given

b. [tex]\frac{x}{5}=2[/tex]                  2. Subtracting 9 on both sides

c. [tex]x=10[/tex]                               3. Cross multiplication

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