In a quiz bee contest, quizmaster asked the contestants to find the value of y in (y - 1)/2-(y - 3)/4=1. Which value satisfies the equation?
Question
Solution
To solve for y in the equation (y - 1)/2 - (y - 3)/4 = 1, follow these steps:
Step 1: Clear the fractions by multiplying every term by the least common multiple (LCM) of 2 and 4, which is 4. This gives:
4*(y - 1)/2 - 4*(y - 3)/4 = 4*1
This simplifies to:
2y - 2 - y + 3 = 4
Step 2: Combine like terms:
y + 1 = 4
Step 3: Subtract 1 from both sides to solve for y:
y = 4 - 1
So, y = 3 is the value that satisfies the equation.
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