Solve for y.
7/y+4 = 6/5
Simplify your answer as much as possible.
To solve for y, we first cross-multiply:
7/y+4 = 6/5
7*5 = 6(y+4)
35 = 6y + 24
Then, we isolate y by subtracting 24 from both sides:
35 - 24 = 6y
11 = 6y
Finally, we solve for y by dividing both sides by 6:
y = 11/6
Therefore, the solution for y is y = 11/6.
To solve for y in the equation 7/y+4 = 6/5, we can start by cross multiplying.
7/y + 4 = 6/5
Cross multiplying gives us:
5 * (7/y) + 5 * 4 = 6
35/y + 20 = 6
Next, we can subtract 20 from both sides of the equation to isolate the term 35/y:
35/y = 6 - 20
35/y = -14
To get rid of the fraction, we can multiply both sides by y:
y * (35/y) = -14 * y
35 = -14y
Now, divide both sides of the equation by -14 to solve for y:
35 / -14 = y
Simplifying the expression gives us:
y = -35/14
To simplify further, we can divide both the numerator and denominator of the fraction by their greatest common factor, which is 7:
y = -5/2
Therefore, the solution for y is y = -5/2.