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VikaD [51]
3 years ago
7

What is the value of x? Enter your answer in the box

Mathematics
1 answer:
sdas [7]3 years ago
7 0

Answer:

x = 20

Step-by-step explanation:

Formula

x1/x2 = x3/x4

Givens

x = 11

x2 = 11 + 121 = 132

x3 = 10

x4 = 10 + 5x + 10

Solution

11/132 = 10 / (5x + 10 + 10)        Combine

11/132 = 10/(5x + 20)                Cross multiply

11*(5x + 20) = 132 * 10              Combine on the right.

11(5x + 20 ) = 1320                   Divide by 11. (You could remove the brackets, but this is easier.

11(5x + 20)/11 = 1320/11            Do the division

5x + 20 = 120                          Subtract 20 from both sides

5x + 20-20 = 120 - 20             Combine

5x = 100                                   Divide by 5

5x/5 = 100/5

x = 20

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Step-by-Step Explanation:

Let's solve for x.

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Step 1: Multiply both sides by 3y-5.

x-2=\frac{3xy-5x}{3}

Step 2: Multiply both sides by 3.

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Step 3: Add -3xy to both sides.

3x-6+-3xy=3xy-5x+-3xy

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Step 4: Add 5x to both sides.

-3xy+3x-6+5x=-5x+5x

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Step 5: Add 6 to both sides.

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Step 6: Factor out variable x.

x(-3y+8)=6

Step 7: Divide both sides by -3y+8.

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x=\frac{6}{-3y+8}

Answer:

x=\frac{6}{-3y+8}

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