High School

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create and solve a linear equation that represents the model, where circles and a square are shown evenly balanced on a balance beam.

A. + 7 = 12; x = 5
B. x = 5 + 7; x = 12
C. x + 5 = 7; x = 2
D. x + 7 = 5; x = -2

create and solve a linear equation that represents the model where circles and a square are shown evenly balanced on a balance beam A 7

Answer :

Answer:

C: x + 5 = 7; x = 2

Step-by-step explanation:

Refer to the given model. On the left-hand side of the balance beam, there are five circles and one square. On the right-hand side of the balance beam, there are seven circles. The balance beam is evenly distributed, so the value on the left-hand side of the balance beam must be the same as the value on the right-hand side of the balance beam.


The square stands for an unknown quantity. In algebra, variables are used to represent unknown quantities, so x will represent the value of the square.


The model shows that the value of x plus five circles is the same as seven circles. Replacing the word "plus" with a plus sign and replacing "is the same as" with an equal sign gives the equation x + 5 = 7.


To solve the equation, subtract 5 from both sides of the equation to isolate x.

Thus, the solution to the equation is x = 2.

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Rewritten by : Barada

Answer:

C

Step-by-step explanation:

We can notice that the balance beam has in one side 7 balls and in the other one 5 balls and a square

The balance beam is balenced

Let x be the square mass

  • x+5 = 7 substract five from each side
  • x+5-5 = 7-5
  • x = 2

The solution is 2

C fits perfectly what we prooved