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4 days ago

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.

Mathematics

3 answers:

Svet_ta [4.3K]4 days ago

8 0

Answer:

The solution is in the method

Step-by-step explanation:

we start with

$-8.5x-3.5x=-78$

finding x

Combine similar terms

$-12x=-78$

Divide both sides by $-12$

$x=-78/-12$

$x=6.5$

To verify the solution, plug the value of x back into the original equation and assess the outcome

we know that

If x is indeed a solution to the equation, it must hold true in the equation

thus

For $x=6.5$

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

$-55.25-22.75=-78$

$-78=-78$ -------> holds true

hence

The calculated x is a valid solution of the equation

Inessa [3.9K]4 days ago

5 0

Jason can confirm the accuracy of his solution by substituting the calculated x value back into the original equation to check if it holds true. If the equality fails, it indicates that his calculated x is incorrect.

AnnZ [3.9K]4 days ago

0 0

Sample Response: To check his result, Jason should replace x with the value he calculated in the initial equation. Following that, he should simplify using the order of operations. If the outcome is a true statement, then Jason's answer is validated.

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Answer:

The amount of wool required for a sweater was 400 grams.

A hat needed 80 grams of wool.

A scarf required 75 grams of wool.

Step-by-step explanation:

Let

x ------> grams of wool necessary for a sweater

y -----> grams of wool necessary for a hat

z -----> grams of wool necessary for a scarf

From the information given

x+y+z=555 -----> equation A

y=x/5 ----> x=5y -----> equation B

y=z+5 ---> z=y-5 ----> equation C

By substituting equations B and C into equation A, we can solve for y:

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Now, find x

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Next, determine z

z=80-5=75 grams

In conclusion,

400 grams of wool was required for the sweater,

the hat needed 80 grams of wool, and

the scarf required 75 grams of wool.

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