Question
Solve the equation
r=58
Alternative Form
r=1.6
Evaluate
3(r−16)=−27r
Expand the expression
More Steps

Evaluate
3(r−16)
Apply the distributive property
3r−3×16
Multiply the numbers
3r−48
3r−48=−27r
Move the variable to the left side
3r−48+27r=0
Add the terms
More Steps

Evaluate
3r+27r
Collect like terms by calculating the sum or difference of their coefficients
(3+27)r
Add the numbers
30r
30r−48=0
Move the constant to the right side
30r=0+48
Removing 0 doesn't change the value,so remove it from the expression
30r=48
Divide both sides
3030r=3048
Divide the numbers
r=3048
Solution
r=58
Alternative Form
r=1.6
Show Solution

Rewrite the equation
25x2+25y2=64
Evaluate
3(r−16)=−27r
Simplify the expression
3r−48=−27r
Rewrite the expression
30r=48
Divide both sides of the equation by 6
5r=8
Square both sides of the equation
(5r)2=82
Evaluate
25r2=82
To covert the equation to rectangular coordinates using conversion formulas,substitute x2+y2 for r2
25(x2+y2)=82
Evaluate the power
25(x2+y2)=64
Solution
25x2+25y2=64
Show Solution
