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Solve the equation

Y/9+5/7=y/7-5/7

1 answer

To solve the equation Y/9 + 5/7 = y/7 - 5/7, we need to isolate the variable y.

First, let's find a common denominator for the fractions on both sides of the equation. The least common multiple of 9 and 7 is 63.

Multiplying every term by 63 will eliminate the denominators:

(63)(Y/9) + (63)(5/7) = (63)(y/7) - (63)(5/7)
7Y + 45 = 9y - 45

Next, let's bring like terms together:

7Y - 9y = -45 - 45
-2y = -90

To isolate y, divide both sides of the equation by -2:

-2y / -2 = -90 / -2
y = 45

Therefore, the solution to the equation is y = 45.
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