Question
Solve the equation
r=5
Evaluate
3(5r−3)−4=62
Move the expression to the left side
3(5r−3)−4−62=0
Subtract the numbers
3(5r−3)−66=0
Calculate
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Evaluate
3(5r−3)−66
Expand the expression
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Calculate
3(5r−3)
Apply the distributive property
3×5r−3×3
Multiply the numbers
15r−3×3
Multiply the numbers
15r−9
15r−9−66
Subtract the numbers
15r−75
15r−75=0
Move the constant to the right-hand side and change its sign
15r=0+75
Removing 0 doesn't change the value,so remove it from the expression
15r=75
Divide both sides
1515r=1575
Divide the numbers
r=1575
Solution
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Evaluate
1575
Reduce the numbers
15
Calculate
5
r=5
Show Solution

Rewrite the equation
x2+y2=25
Evaluate
3(5r−3)−4=62
Evaluate
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Evaluate
3(5r−3)−4
Expand the expression
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Calculate
3(5r−3)
Apply the distributive property
3×5r−3×3
Multiply the numbers
15r−3×3
Multiply the numbers
15r−9
15r−9−4
Subtract the numbers
15r−13
15r−13=62
Rewrite the expression
15r=13+62
Simplify the expression
15r=75
Square both sides of the equation
(15r)2=752
Evaluate
225r2=752
To covert the equation to rectangular coordinates using conversion formulas,substitute x2+y2 for r2
225(x2+y2)=752
Evaluate the power
225(x2+y2)=5625
Solution
x2+y2=25
Show Solution
