Question
5r−1=7r×11
Solve the equation
r=−721
Alternative Form
r=−0.0138˙
Evaluate
5r−1=7r×11
Multiply the terms
5r−1=77r
Move the variable to the left side
5r−1−77r=0
Subtract the terms
More Steps

Evaluate
5r−77r
Collect like terms by calculating the sum or difference of their coefficients
(5−77)r
Subtract the numbers
−72r
−72r−1=0
Move the constant to the right side
−72r=0+1
Removing 0 doesn't change the value,so remove it from the expression
−72r=1
Change the signs on both sides of the equation
72r=−1
Divide both sides
7272r=72−1
Divide the numbers
r=72−1
Solution
r=−721
Alternative Form
r=−0.0138˙
Show Solution

Rewrite the equation
5184x2+5184y2=1
Evaluate
5r−1=7r×11
Evaluate
5r−1=77r
Rewrite the expression
−72r=1
Square both sides of the equation
(−72r)2=12
Evaluate
5184r2=12
To covert the equation to rectangular coordinates using conversion formulas,substitute x2+y2 for r2
5184(x2+y2)=12
Evaluate the power
5184(x2+y2)=1
Solution
5184x2+5184y2=1
Show Solution
