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amid [387]
3 years ago
15

Can i please get help with this question?

Mathematics
1 answer:
Darya [45]3 years ago
6 0

x + \frac{1}{3}=9


We know that:

\frac{a}{b}+\frac{c}{d}=\frac{a.d+b.c}{b.d}


So,


x + \frac{1}{3} = \frac{x.3+1.1}{1.3} = \frac{3x+1}{3}


\frac{3x+1}{3}=9


Pass the 3 as multiplication


3x + 1 = 3.9

3x + 1 = 27

3x = 27 - 1

3x = 26

x=\frac{26}{3}

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Someone help and please answer it fully
IRINA_888 [86]

Answer:

No, Matt did not solve the equation correctly

Correct Answer: x = 8

Step-by-step explanation:

4(x + 2) = 30

Step 1: Distribute

4x + 2 = 30      =>     This is his mistake, he should completely distribute 4    

                                  to x and 2

Step 2: Subtract 2 from both sides/Isolate x

4x = 28           =>      This part is done correctly, but wrong because of Step 1

Step 3: Divide both sides by 4

x = 7                =>      This is correct, but again, he messed up on Step 1

<h3>Let's find the correct answer to this equation:</h3><h3>4(x +2) = 30</h3>

Step 1: Distribute

Remember to distribute 4 to all terms in the parenthesis.

4(x + 2) = 4(x) + 4(2)

            = 4x + 8

4x + 8 = 30

Step 2: Subtract 8 from both sides/Isolate x

Move all the terms that do not belong to x to the other side. We can do this by subtracting 8 from both sides  => (opposite operation of adding 8)

4x + 8 = 30

4x = 30 - 8

4x = 32

Step 3: Divide both sides by 4/Isolate x

Now we want x by itself. Since x is being multiplied by 4, we have to use the opposite operation, dividing by 4, to have x on one side by itself

4x = 32

4(x) = 32

x = 32 ÷ 4

x = 8

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