solve for r
a+ar=b+r
Help!
Thank you.
a + ar = b + r
ar - r = b - a,
r(a - 1) = b - a,
r = (b - a) / (a - 1).
To solve for r in the equation a + ar = b + r, we can begin by combining like terms. We will isolate the terms containing r on one side of the equation.
Step 1: Distribute the 'r' on the left-hand side of the equation:
a + ar = b + r
a + ar - r = b
Step 2: Factor out 'r' on the left-hand side:
r(a - 1) = b - a
Step 3: Divide both sides of the equation by (a - 1) to solve for r:
r = (b - a) / (a - 1)
Therefore, the solution for r is r = (b - a) / (a - 1).
To solve for the variable "r" in the equation a+ar=b+r, we need to isolate the "r" term on one side of the equation.
Step 1: Group the "r" terms together:
a + ar = b + r
Step 2: Subtract "r" from both sides to move the "r" term to the left side:
a + ar - r = b + r - r
Simplifying the equation:
a + ar - r = b
Step 3: Factor out the common factor "r" on the left side of the equation:
a + (a - 1)r = b
Step 4: Divide both sides of the equation by (a - 1) to solve for "r":
(a + (a - 1)r) / (a - 1) = b / (a - 1)
The resulting equation gives you the value of "r" in terms of the given constants a and b:
r = (b - a) / (a - 1)
You can substitute the values of "a" and "b" into the equation to find the specific value of "r".