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Marizza181 [45]
3 years ago
12

Explain why the steps for solving equations are usually given as removing grouping symbols first, even though it is not necessar

ily the only way to solve. For example, the equation 2(x + 3) = 16 could be solved by dividing the equation through by 2 to get x + 3 = 8.
Mathematics
1 answer:
finlep [7]3 years ago
3 0
This is because simplifying the equation before solving it will lead you to the answer at a much faster rate. For example, in the given equation, the long way would be to distribute 2 to (x+3). Then, you transpose them and combine like terms. Until you get to x + 3 = 8. But if you simplify it first, you will see that it is straightforward. It will lead you to the answer right away which is x + 3 = 8. It saves you from the hassle of doing more algebra :)
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Answer:

Step-by-step explanation:

What we have is a general equation that says this in words:

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Since we don't know either person's number of hours, AND since we can only have 1 unknown in a single equation, we need to write Laura's hours in terms of Doug's, or Doug's hours in terms of Laura's.  We are told that Doug spent Laura's hours plus another 40 in the lab, so let's call Laura's hours "x".  That makes Doug's hours "x + 40".  Now we can write our general equation in terms of x:

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Since Laura is x, she worked 105 hours in the lab and Doug worked 40 hours beyond what Laura worked.  Doug worked 145.  As long as those 2 numbers add up to 250, we did the job correctly.  105 + 145 = 250? I believe it does!!

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