Question

Jason solved the following equation to find the value for x. –8.5x – 3.5x = –78 x = 6.5 Describe how Jason can check his answer.

Answer 1

Answer:

The answer in the procedure

Step-by-step explanation:

we have

$-8.5x-3.5x=-78$

solve for x

Combine like terms

$-12x=-78$

Divide by $-12$  both sides

$x=-78/-12$

$x=6.5$

To check the answer, substitute the value of x in the original equation and then compare the results

we know that

If a value of x is a solution of the equation, then the value of x must be satisfy the equation

so

For $x=6.5$

$-8.5(6.5)-3.5(6.5)=-78$

$-55.25-22.75=-78$

$-78=-78$ -------> is true

therefore

The value of x is a solution of the equation

Answer 2

Jason can verify whether his answer is correct or not by simply substituting the obtained value of x to the given equation and should satisfy the equality. If the equality is not satisfied then he must have wrong value of x

Answer 3

Sample Response: Jason needs to substitute the value he found for x in the original equation. Then he needs to use order of operations to simplify. If the result is a true statement then Jason’s solution is correct.