Question

Jason solved the following equation to find the value for x.

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 plug what x equals (6.5) back into the equation everywhere x is and solve! If the answers on both sides equal each other (example 3=3) then that means his answer is correct.