How do you solve
x/a - 1 = y/b for y?
Algebra question I'm stuck on.
Thanks!
multiply each term by ab, the LCD
bx - ab = ay
y = (bx - ab)/a
or
just multiply both sides by b
bx/a - b = y , which is the same as my first result
Thank you so much Reiny!
What is the least common denominator?
what the least common denominator is a right?
To solve the equation for y, we need to isolate the y variable.
Given the equation: x/a - 1 = y/b
Step 1: Start by multiplying both sides of the equation by b to eliminate the fraction:
b * (x/a - 1) = y
Step 2: Distribute b to both terms within the parentheses:
(b * x/a) - (b * 1) = y
Step 3: Simplify:
(bx/a) - b = y
Therefore, the equation is simplified to y = (bx/a) - b.
To recap, to solve for y in the equation x/a - 1 = y/b, we multiplied both sides of the equation by b and simplified to obtain the final solution y = (bx/a) - b.