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iris [78.8K]
3 years ago
14

when you solve a problem by working backward, what does your answer represent? how can you check your answer?

Mathematics
1 answer:
Rus_ich [418]3 years ago
8 0
Lets say you have an addition problem

3 + 7 = ?

To figure that you can just add in your head since its easy.

3 + 7 = 10

You can work backwords to check to see if your awnser is right.

When you work backwards you do the opposite of what you are doing, so if your adding the opposite would be subtracting, and if your multiplying than the opposite would be dividing.

So you could work it out like this:

(Regular⬇️)
3 + 7 = 10
(Backwards⬇️)
10 - 7 = 3

And if you get the same numbers that were in the original awnser than you are correct! Hope this helps!!!!
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Reminder when performing your check step, always substitute your solution by enclosing it in parentheses. -x + 3 = 2(3 - 2x)
Wittaler [7]

Answer:

x = 1

Step-by-step explanation:

For the equation given, we have to solve for the value of "x".

First, when simplifying, we will need the distributive property shown below:

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a(b - c) = ab - ac

Now, lets do algebra:

-x + 3 = 2(3 - 2x)\\-x+3=2(3)-2(2x)\\-x+3=6-4x\\-x+4x=6-3\\3x=3\\x=\frac{3}{3}\\x=1

The value of x is 1

Lets substitute x = 1 into equation to check:

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<em>This is indeed the solution since left hand side equals right hand side</em>

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