Question
Solve the equation and identify if this is a solution, no solution or infinitely many solutions.
y/3+y/2=5
y/3+y/2=5
Answers
Answered by
GPT 3.5
To solve the equation y/3 + y/2 = 5, we need to combine the fractions on the left side of the equation.
First, find a common denominator for the fractions:
y/3 + y/2 = 5
(2y + 3y) / 6 = 5
5y / 6 = 5
Now, multiply both sides of the equation by 6 to get rid of the denominator:
5y = 30
Divide both sides by 5:
y = 6
Therefore, the solution to the equation is y = 6.
Since we have found a specific value for y (y = 6), this is a unique solution to the equation. So, there is only one solution.
First, find a common denominator for the fractions:
y/3 + y/2 = 5
(2y + 3y) / 6 = 5
5y / 6 = 5
Now, multiply both sides of the equation by 6 to get rid of the denominator:
5y = 30
Divide both sides by 5:
y = 6
Therefore, the solution to the equation is y = 6.
Since we have found a specific value for y (y = 6), this is a unique solution to the equation. So, there is only one solution.