Consider the equation x 5 − 2 = 11. Each of these values might be the solution to this equation. Verify the correct solution by substituting each value into the equation. Which is the correct solution?

Respuesta :

Answer:

x = 65

Step-by-step explanation:

Complete question is:

Which is the correct solution?

x = 1.8

x = 2.6

x = 45

x = 65

SOLUTION:

The given equation is : [tex]\frac{x}{5}-2=11[/tex]

Substituting all the values of 'x' one by one

 

-> For  x = 1.8  : [tex]\frac{1.8}{5}-2=11[/tex]

-1.64≠11

-> For x = 2.6 : [tex]\frac{2.6}{5}-2=11[/tex]

-1.48≠11

-> For x = 45 : [tex]\frac{45}{5}-2=11[/tex]

7≠11

-> For x = 65 : [tex]\frac{65}{5}-2=11[/tex]

11=11

Therefore, by substituting x in every equation, x = 65

Answer:

Substitute 7 for a.

Simplify the equation after substituting the value for a.

Verify that a = 7 is correct when the result is a true statement.

Step-by-step explanation:

Here, the given equation is,,

And, after solving it the result is,

a = 7

We can check whether a result is the solution of an equation by substituting the result in the given equation.

If we get a true statement, then the result is the solution of the equation.

Thus, for verifying the solution, steps are as follow,

Step 1 : Substitute 7 ,

-9(7-5) = -18

Step 2 : Simplify the equation after substituting the value of a  

-9(2) = -18    

Step 3 : Verify that a = 7 is correct when the result is a true statement.

-18 = -18      

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