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saw5 [17]
3 years ago
8

How do you solve this step by step??

Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0

Answer:

Step-by-step explanation: 6x+5x=3x+2x-54

                                               11x=5x-54

                                                +5x  +5x

                                                   16x=54

                                                     16    16

                                                       x=3.375

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I assume you want to find x.

We want an equation that says that x is equal to 105cm, minus that 5 percent, because that is his height before the 5% was added. That looks like:

x + 0.05x = 105

           (0.05 is 5% in decimal form, which is necessary in equations like this).

x + 0.05x = 1.05x

1.05x = 105.

Isolate x by dividing both sides by 1.05

1.05x / 1.05 = x, 105 / 1.05 = 100

x = 100, so he was 100cm tall before summer

My original answer was 99.75. This is wrong because I used the 5% of 105, which is wrong because in the question it says his original height (which is x) had 5% added to it. So its 5% of x, not 5% of 105. This changes the whole equation.

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4 years ago
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