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

Math
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Solve for in the first equation.
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Subtract from both sides of the equation.
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
Replace all occurrences of with in each equation.
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Replace all occurrences of in with .
Simplify .
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Simplify each term.
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Apply the distributive property.
Multiply .
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Combine and .
Multiply by .
Multiply .
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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 .
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Factor out of .
Factor out of .
Factor out of .
Solve for in the first equation.
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Multiply both sides of the equation by .
Simplify.
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Simplify .
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Apply the distributive property.
Multiply.
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Multiply by .
Multiply by .
Multiply by .
Solve for .
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Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Subtract from .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Replace all occurrences of with in each equation.
Tap for more steps…
Replace all occurrences of in with .
Simplify .
Tap for more steps…
Combine the numerators over the common denominator.
Cancel the common factor of .
Tap for more steps…
Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify the expression.
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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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