To determine: \frac{y}{2}-\frac{y}{5}=\frac{1}{4}

Painevg

Painevg

Answered question

2021-12-30

To determine:
y2y5=14

Answer & Explanation

Kayla Kline

Kayla Kline

Beginner2021-12-31Added 37 answers

Step 1
To find the value of y2y5=14
Multiply by 20 on both sides,
20(y2y5)=14×20
By distributive property,
20(y2y5)=20y220y5
20(y2y5)=10y4y
20(y2y5)=6y
The value of 14×20 is 5.
Replace 20(y2y5) with 6y
Replace 14×20 with 5
6y=5
Divide by 6 on both sides,
6y6=56
y=56
So, the value of y is 56
Mason Hall

Mason Hall

Beginner2022-01-01Added 36 answers

Step 1
Simplify both sides of the equation.
y2y5=14
12y+15y=14
(12y+15y)=14 (Combine Like Terms)
310y=14
Step 2: Multiply both sides by 103
(103)×(310y)=(103)×(14)
y=56
karton

karton

Expert2022-01-10Added 613 answers

Step 1
Given: y2y5=14
Multiply by LCM 2, 5, 4:20
y2×20y5×20=14×20
Step 2
Simplify:
y2×20
=y×202=10y
Step 3
y5×20
=y×205=4y
Step 4
14×20
Convert element to fraction:
=14×201
Cross - cancel common factor:
=51
Apply the fraction rule:
10y4y=5
6y=5
Divide both sides by 6
6y6=56
Simplify
y=56
Decimal: y=0.83333

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