BaylynnD115391 BaylynnD115391
  • 26-10-2022
  • Mathematics
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What is the solution to the equation represented by the model below?1x1O X=-14O X=-2O X= 2X= 14

What is the solution to the equation represented by the model below1x1O X14O X2O X 2X 14 class=

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MeriyahK541044 MeriyahK541044
  • 26-10-2022

Answer:

x = 2

Explanation:

On the left-hand side we have 3 x's and 8 boxes of 1; therefore, we can write

3 x + 8

On the right-hand side, we have 4 x's and 6 boxes of 1 which we can represent as

4x + 6

Placing the equality sign in between gives

3x + 8 = 4x + 6

subtracting 4x from both sides gives

3x + 8 -4x = 4x + 6 -4x

----> -x + 8 = 6

Finally, subtracting 8 from both sides gives

-x + 8 - 8 = 6 -8

-x = -2

multiplying both sides by -1 gives

x = 2.

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