# Solve by Addition/Elimination 4x+3y=16 7x+6y=31

Multiply each equation by the value that makes the coefficients of opposite.
Simplify.
Simplify .
Apply the distributive property.
Multiply.
Multiply by .
Multiply by .
Multiply by .
Add the two equations together to eliminate from the system.
Multiply each term in by
Multiply each term in by .
Multiply .
Multiply by .
Multiply by .
Multiply by .
Substitute the value found for into one of the original equations, then solve for .
Substitute the value found for into one of the original equations to solve for .
Multiply by .
Move all terms not containing to the right side of the equation.
Add to 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 .
Divide by .
The solution to the independent system of equations can be represented as a point.
The result can be shown in multiple forms.
Point Form:
Equation Form:

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