# Solve by Substitution 3x+2y=4 , 5x-4y=3

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Solve for in the first equation.
Subtract from both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
Replace all occurrences of with in each equation.
Replace all occurrences of in with .
Simplify .
Simplify each term.
Apply the distributive property.
Multiply .
Combine and .
Multiply by .
Multiply .
Multiply by .
Combine and .
Multiply by .
Move the negative in front of the fraction.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Combine the numerators over the common denominator.
Multiply by .
Subtract from .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Solve for in the first equation.
Multiply both sides of the equation by .
Simplify.
Simplify .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Apply the distributive property.
Multiply.
Multiply by .
Multiply by .
Multiply by .
Solve for .
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Replace all occurrences of with in each equation.
Replace all occurrences of in with .
Simplify .
Combine the numerators over the common denominator.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify the expression.
Subtract from .
Divide by .
The solution to the system is the complete set of ordered pairs that are valid solutions.
The result can be shown in multiple forms.
Point Form:
Equation Form:
Solve by Substitution 3x+2y=4 , 5x-4y=3

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