# Solve by Substitution A=4300(1+n*0.05) , FV=(603.42((1+0.01)^(4n)-1))/0.01 ,
Substitute for into then solve for .
Replace with in the equation.
Solve the equation for .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify .
Multiply the numerator by the reciprocal of the denominator.
Simplify the numerator.
Rewrite as .
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Simplify.
Rewrite as .
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Simplify with factoring out.
Factor out of .
Factor out of .
Separate fractions.
Simplify the expression.
Divide by .
Divide by .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify each term.
Multiply by by adding the exponents.
Use the power rule to combine exponents.
Multiply by .
Multiply by .
Multiply by .
Expand by multiplying each term in the first expression by each term in the second expression.
Simplify terms.
Simplify each term.
Multiply by by adding the exponents.
Use the power rule to combine exponents.
Move to the left of .
Rewrite as .
Multiply by by adding the exponents.
Use the power rule to combine exponents.
Move to the left of .
Rewrite as .
Multiply by by adding the exponents.
Use the power rule to combine exponents.
Move to the left of .
Rewrite as .
Multiply by .
Multiply by .
Simplify terms.
Combine the opposite terms in .
Apply the distributive property.
Multiply by .
Multiply and .
Simplify the numerator.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Simplify.
Rewrite as .
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Substitute for into then solve for .
Replace with in the equation.
Solve the equation for .
Move to the left side of the equation by subtracting it from both sides.
Simplify .
Simplify each term.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Apply the distributive property.
Multiply by .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify each term.
Multiply by by adding the exponents.
Move .
Use the power rule to combine exponents.
Multiply by .
Multiply by .
Expand by multiplying each term in the first expression by each term in the second expression.
Simplify each term.
Multiply by by adding the exponents.
Move .
Use the power rule to combine exponents.
Multiply by .
Multiply by by adding the exponents.
Move .
Use the power rule to combine exponents.
Multiply by .
Multiply by by adding the exponents.
Move .
Use the power rule to combine exponents.
Multiply by .
Multiply by .
Combine the opposite terms in .
Simplify the numerator.
Rewrite as .
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Simplify.
Rewrite as .
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Simplify.
Factor out of .
Factor out of .
Separate fractions.
Divide by .
Divide by .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify each term.
Multiply by by adding the exponents.
Use the power rule to combine exponents.
Multiply by .
Multiply by .
Multiply by .
Expand by multiplying each term in the first expression by each term in the second expression.
Simplify each term.
Multiply by by adding the exponents.
Use the power rule to combine exponents.
Move to the left of .
Rewrite as .
Multiply by by adding the exponents.
Use the power rule to combine exponents.
Move to the left of .
Rewrite as .
Multiply by by adding the exponents.
Use the power rule to combine exponents.
Move to the left of .
Rewrite as .
Multiply by .
Multiply by .
Combine the opposite terms in .
Apply the distributive property.
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Combine the opposite terms in .
Subtract from .
Subtract from .
Since , the equation will always be true.
Always true
Always true
Always true
The solution to the system is the complete set of ordered pairs that are valid solutions.
Solve by Substitution A=4300(1+n*0.05) , FV=(603.42((1+0.01)^(4n)-1))/0.01

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