Suppose that the elimination method results in the equation 0=0. What does this indicate about the number of solutions to the system of equations?
If you have two different equations with the same two unknowns in each, you can solve for both unknowns. There are three common methods for solving: addition/subtraction, substitution, and graphing. [ Addition/subtraction method This method is also known as the elimination method. To use the addition/subtraction method, do the following: Multiply one or both equations by some number(s) to make
the number in front of one of the letters (unknowns) the same or exactly the opposite in each equation. Add or subtract the two equations to eliminate one letter. Solve for the remaining unknown. Solve for the other unknown by inserting the value of the unknown found in one of the original equations. Example 1 Solve for x and y. Adding the equations eliminates the y-terms. ] ]
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