Final answer:
To check his solution, Jason must substitute x=6.5 back into the original equation and verify if the left side equals -78. If it does, his solution is correct.
Step-by-step explanation:
To check if the solution x=6.5 is correct for the equation -8.5x-3.5x=-78, Jason needs to substitute the value of x back into the original equation.
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- Firstly, multiply -8.5 by 6.5: -8.5 * 6.5 gives -55.25.
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- Then, multiply -3.5 by 6.5: -3.5 * 6.5 gives -22.75.
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- Add the two results: -55.25 + (-22.75) gives -78.
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- If the sum equals -78, then the value x=6.5 is correct.
If after substituting the value of x, the two sides of the equation are equal, then his solution is correct. If they are not equal, then he must re-evaluate his solution.