Question

1/4y+1/2= 5.

lesson: linear equation in one variable

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Answer 1

Answer:

If  $\frac{1}{4y} + \frac{1}{2} =5$ then y =9.5.

Step-by-step explanation:

$\frac{1}{4y} + \frac{1}{2} =5\\ \frac{2 + 4y}{8y} = 5\\2 + 4y = 5(8y)\\2 + 4y = 40\\4y = 40 - 2\\4y = 38\\y =\frac{38}{4} \\y = 9.5$

Answer 2

Given: The equation is$1/4y+1/2= 5$.

We have to solve the above equation.

• By using the concept of equation shifting, we are solving the above  equation.  
• For this, we will separate the variables on one side and the constant on another side.  
• Then, we will simplify the equation.  

We are solving in the following way:  

We have,

$1/4y+1/2= 5$

$=>\frac{1}{4y} +\frac{1}{2} =5\\\\=> \frac{1}{4y} =5-\frac{1}{2}\\\\=> \frac{1}{4y}=\frac{10-1}{2} \\\\=> \frac{1}{4y}=\frac{9}{2} \\\\=>1\times 2=9\times4y\\\\=>2=36y\\\\=>y=\frac{2}{36} \\\\=>y=\frac{1}{18}$

Hence, the value of $y$will be$1/18$.