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The model represents an equation.

What value of x makes the equation true?
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value. x = -3.8
X = 2.25
x=4.12
x=2

The model represents an equation What value of x makes the equation true Record your answer and fill in the bubbles on your answer document Be sure to use the c class=

Respuesta :

jadajada5793
it should be x=2.25.
akposevictor

The value of x in the model that makes the equation true is: b. x = 2.25

We can find the value of x that makes the equation true by applying our knowledge of how to model equations.

From the image given:

  • On your left, we have -x, in three places which can be translated to as: [tex]3 \times -x = -3x[/tex]

  • On the left also, we are given [tex]10 \times 1 = 10[/tex]

  • We can model the left side as:

[tex]-3x + 10[/tex]

  • On your right, we have x in five places which can be translated to as: [tex]5 \times x = 5x[/tex]

  • On the right also, we are given [tex]8 \times -1 = -8[/tex]

  • We can model the left side as:

[tex]5x - 8[/tex]

  • The equation would be:

[tex]-3x + 10 = 5x - 8[/tex]

  • Solve the equation for the value of x. Collect like terms.

[tex]-3x - 5x = - 8 - 10\\\\-8x = -18[/tex]

  • Divide both sides by -8

[tex]x = \frac{-18}{-8} \\\\x = 2.25[/tex]

Therefore, the value of x in the model that makes the equation true is: b. x = 2.25

Learn more here:

https://brainly.com/question/16614424

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