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Algebraic Equations with Fractions
Ex. 1: 
(10)/(v+1)=(2)/(4)

Algebraic Equations with Fractions\newlineEx. 11: 10v+1=24 \frac{10}{v+1}=\frac{2}{4}

Full solution

Q. Algebraic Equations with Fractions\newlineEx. 11: 10v+1=24 \frac{10}{v+1}=\frac{2}{4}
  1. Find Cross Products: Find the cross products to solve for vv.10×4=(v+1)×210 \times 4 = (v + 1) \times 2
  2. Do Multiplication: Do the multiplication.\newline40=2v+240 = 2v + 2
  3. Subtract to Isolate vv: Subtract 22 from both sides to isolate the term with vv.402=2v40 - 2 = 2v
  4. Finish Subtraction: Finish the subtraction. 38=2v38 = 2v
  5. Divide to Solve for v: Divide both sides by 22 to solve for vv.382=v\frac{38}{2} = v
  6. Complete Division: Complete the division to find the value of vv.19=v19 = v