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Brums [2.3K]
3 years ago
15

PLEASE HELP!!!!! What is the reason for each step in the solution of the equation?

Mathematics
2 answers:
monitta3 years ago
5 0

3 + 4x - 3x = 4      Given

3 + (4x - 3x) = 4

3 + x = 4      Combine like terms

3 - 3 + x = 4 - 3

x = 1       Subtraction Property of Equality

dedylja [7]3 years ago
4 0

Answer and explanation:

Given : Equation 3+4x-3x=4

To find : What is the reason for each step in the solution of the equation?

Solution :

Step 1 - Write the given equation,

3+(4x-3x)=4

Step 2 - Combine like terms,

3+x=4

Step 3 - Subtraction Property of Equality,

3+x-3=4-3 (Subtract both side by 3)

x=1

So, Above three steps are the required result.

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Let us check if we can reduce the fraction \frac{333}{1000}

For this, we need to find a common factor of 333 and 1000 in order to cancel it out.

But, first, we need to find the Greatest Common Divisor (GCD) of 333, 1000

<u>Greatest Common Divisor (GCD) : </u>

The GCD of a, b is the largest positive number that divides both a and b without a remainder.

Prime Factorization of 333:      3 · 3 · 37

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As there is no common factor for 333 and 1000, therefore, the GCD is 1.

Important Tip:

  • As GCD is 1, therefore the fraction can not be simplified.

Therefore, decimal 0.333 to a fraction in simplest form is:   \frac{333}{1000}

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