Solve by Substitution 3/4x+3/5y=3/5 , 1/3x+1/2y=-2/3

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Simplify each equation.
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Simplify each term.
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Combine and .
Combine and .
Simplify each term.
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Combine and .
Combine and .
Solve for in the first equation.
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Subtract from both sides of the equation.
Multiply both sides of the equation by .
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
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Simplify .
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Simplify terms.
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Apply the distributive property.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Combine and .
Cancel the common factor of .
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Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
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Move the negative in front of the fraction.
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Simplify .
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Simplify each term.
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Simplify the numerator.
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Combine the numerators over the common denominator.
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Multiply the numerator by the reciprocal of the denominator.
Multiply .
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Multiply and .
Multiply by .
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Multiply and .
Multiply by .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
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Apply the distributive property.
Multiply by .
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Move to the left of .
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Solve for in the second equation.
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Multiply both sides of the equation by .
Remove parentheses.
Simplify .
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Cancel the common factor of .
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Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
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 .
Divide by .
Replace all occurrences of in with .
Simplify .
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Simplify each term.
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Multiply by .
Move the negative in front of the fraction.
Multiply .
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Multiply by .
Multiply by .
Combine the numerators over the common denominator.
Add and .
Divide by .
The solution to the system of equations can be represented as a point.
The result can be shown in multiple forms.
Point Form:
Equation Form:
Solve by Substitution 3/4x+3/5y=3/5 , 1/3x+1/2y=-2/3

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