1/3x-1/4y=1
1/3*x-1/4*y-(1)=0
the answer is 0
you have a single equation with two unknowns
... there is no unique solution
x and y can be any combination of values that make the equation true
To solve the equation 1/3x - 1/4y = 1, we can follow these steps:
Step 1: Clear the Fractions
To eliminate the fractions, in this case, we can multiply the entire equation by the least common multiple (LCM) of the denominators, which in this case is 12. Multiply every term by 12:
12 * (1/3x) - 12 * (1/4y) = 12 * 1
This simplifies to:
4x - 3y = 12
Step 2: Solve for one unknown
Now we have an equation with two variables, x and y. To solve for one of the unknowns, we need to express it in terms of the other. Let's solve for x:
4x - 3y = 12
We isolate x by moving the -3y term to the other side of the equation:
4x = 3y + 12
Step 3: Simplify and isolate x
To get x by itself, divide both sides of the equation by 4:
(4x)/4 = (3y + 12)/4
This simplifies to:
x = (3y + 12)/4
Now, we have expressed x in terms of y.
So, the solution to the equation 1/3x - 1/4y = 1 is x = (3y + 12)/4.