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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.

Respuesta :

metchelle
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
calculista

Answer:

The answer in the procedure

Step-by-step explanation:

we have

[tex]-8.5x-3.5x=-78[/tex]

solve for x

Combine like terms

[tex]-12x=-78[/tex]

Divide by [tex]-12[/tex]  both sides

[tex]x=-78/-12[/tex]

[tex]x=6.5[/tex]

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 [tex]x=6.5[/tex]

[tex]-8.5(6.5)-3.5(6.5)=-78[/tex]

[tex]-55.25-22.75=-78[/tex]

[tex]-78=-78[/tex] -------> is true

therefore

The value of x is a solution of the equation

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