Joy had (3x+35) pencils.she sold 12 pencils and remained with 50pencils solve a linear equation to represent this statement and solve for x in above statement

Mathematics

ScanSolve AI Answer

Answer

9

Step-by-step solution

4 steps

Let's set up and solve the linear equation.

  1. Formulate the linear equation from the statement.

    Joy started with (3x+35)(3x+35) pencils. She sold 12 pencils, which means 12 pencils were subtracted from her initial amount. She remained with 50 pencils.
    So, the equation is:

    (3x+35)−12=50(3x + 35) - 12 = 50
  2. Simplify the equation by combining the constant terms on the left side.

    3x+(35−12)=503x + (35 - 12) = 50 3x+23=503x + 23 = 50
  3. Isolate the term with xx by subtracting 23 from both sides of the equation.

    3x+23−23=50−233x + 23 - 23 = 50 - 23 3x=273x = 27
  4. Solve for xx by dividing both sides by 3.

    3x3=273\frac{3x}{3} = \frac{27}{3} x=9x = 9

    The value of xx is 9\boxed{9}.

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