Elimination Link to video

Example: Find the P.O.I. by elimination for and Steps Example 1a. Rearrange one (or both) of the equations so that the x’s and the y’s are one the same side (left or right) for both equations x + y = 9 4x – 2y = -6

Example: Find the P.O.I. by elimination for and 1b. Line up both equations and decide which one the variables (x or y) you are going to eliminate. x + y = 9 4x – 2y = -6 *You could choose to eliminate either the x’s or the y’s. We will eliminate the y’s.

Example: Find the P.O.I. by elimination for and 1c. If you need to, multiply one or both equations by a number to make the coefficients match for the variable you’re going to eliminate.

Example: Find the P.O.I. by elimination for and 2.Eliminate the variable by either adding or subtracting the second equation from the first. Solve for the remaining variable.

Example: Find the P.O.I. by elimination for and 3. Substitute the value for the variable, which was found in step 2 into one of the original equations and solve for the other variable. x + y = 9 Sub in “2” for “x” 2 + y = 9 y = 9 – 2 y = 7

Example: Find the P.O.I. by elimination for and 4. Verify your answer by substituting the value in step 3 into the other original equation.