# Solve by Substitution 5/2x+3/2y=12 , 9x+2/3y=29 ,
Simplify each equation.
Combine and .
Simplify each term.
Combine and .
Combine and .
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 .
Multiply .
Multiply and .
Multiply by .
Replace all occurrences of in with .
Simplify .
Simplify each term.
Simplify the numerator.
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 .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Multiply by .
Combine and .
Multiply the numerator by the reciprocal of the denominator.
Multiply .
Multiply and .
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 .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Apply the distributive property.
Multiply by .
Multiply by .
Multiply by .
Solve for in the second equation.
Multiply both sides of the equation by .
Remove parentheses.
Multiply by .
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 .
Divide by .
Replace all occurrences of in with .
Simplify .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine the numerators over the common denominator.
Subtract from .
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 5/2x+3/2y=12 , 9x+2/3y=29

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