Question
Solve the equation
(c,m)=(0,0)
Evaluate
i=(cm−1)×100
Multiply the terms
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Evaluate
(cm−1)×100
Use the the distributive property to expand the expression
cm×100−100
Multiply the terms
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Multiply the terms
cm×100
Multiply the terms
cm×100
Use the commutative property to reorder the terms
c100m
c100m−100
Reduce fractions to a common denominator
c100m−c100c
Write all numerators above the common denominator
c100m−100c
i=c100m−100c
Swap the sides of the equation
c100m−100c=i
Cross multiply
100m−100c=ci
Simplify the equation
100m−100c=ic
Move the expression to the left side
100m−100c−ic=0
Collect like terms by calculating the sum or difference of their coefficients
100m+(−100−i)c=0
Rewrite the expression
(100m−100c)+(−c)i=0
Rewrite the expression
{100m−100c=0−c=0
Solve the equation for c
{100m−100c=0c=0
Substitute the given value of c into the equation 100m−100c=0
100m−100×0=0
Simplify
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Evaluate
100m−100×0
Any expression multiplied by 0 equals 0
100m−0
Removing 0 doesn't change the value,so remove it from the expression
100m
100m=0
Rewrite the expression
m=0
Calculate
{c=0m=0
Solution
(c,m)=(0,0)
Show Solution
