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
Jason can check his answer by putting the value of x into the equation given.
The equation that was given in the question is:
–8.5x – 3.5x = –78
Also, the value of x given is 6.5
Therefore, we'll put the value of x back into the equation and this will be:
- 8.5x – 3.5x = –78
-8.5(6.5) - 3.5(6.5)
-55.25 + - 22.75
= -78
Therefore, the answer is correct.
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