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Zorluk: KolaySolving One-Variable Linear Equations

Determine the value of yy that makes the following equation true:

6y−12=36 6y - 12 = 36

Which of the following represents the correct value of yy?

  1. A
    42
  2. B
    4
  3. 8Cevap
  4. D
    -6

Cevap

The correct value of y is 8.
The correct value is 8. To isolate the variable y, the constant 12 must first be added to both sides of the equation, which results in 6y = 48. Finally, dividing both sides by the coefficient 6 gives the solution y = 8.

Adım Adım Çözüm

1
Add 12 to both sides of the equation.
6y=36+12⇒6y=48 6y = 36 + 12 \Rightarrow 6y = 48
This isolates the term with the variable on one side of the equation.
2
Divide both sides by 6.
y=486⇒y=8 y = \frac{48}{6} \Rightarrow y = 8
This isolates the variable y and provides the final solution.

Anahtar Kavram

Solving two-step linear equations by performing inverse operations.
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Konular

Solving One-Variable Linear Equations

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