Question

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?

Answer 1

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

Answer 2

x = 65

Explanation:

Complete question is:

Which is the correct solution?

x = 1.8

x = 2.6

x = 45

x = 65

SOLUTION:

The given equation is :
`(x)/(5)-2=11`

Substituting all the values of 'x' one by one

-> For x = 1.8 :
`(1.8)/(5)-2=11`

-1.64≠11

-> For x = 2.6 :
`(2.6)/(5)-2=11`

-1.48≠11

-> For x = 45 :
`(45)/(5)-2=11`

7≠11

-> For x = 65 :
`(65)/(5)-2=11`

11=11

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