Solving Systems of Linear Equations Elimination. Making Equivalent Equations Multiply the following 3 times x + y = 2 -2 times 3x + y = 3.

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Presentation transcript:

Solving Systems of Linear Equations Elimination

Making Equivalent Equations Multiply the following 3 times x + y = 2 -2 times 3x + y = 3

Elimination in Systems of Equations we line up the equations so that the variables line up add the columns, and hopefully one variable with drop out (eliminate) – before you add, sometimes we need to multiply a whole equation (or both) by a number to make the variable drop out solve for the remaining variable substitute that value into one of the original equations (doesn’t matter which) to find the other variable

Example 15.1 Use elimination to solve:3x + 2y = 23 -2x + 3y = 2

Example 15.2 Use elimination to solve:4x + 3y = 17 -3x + 4y = 6

Example 15.3 Use elimination to solve:3x – 3y = 21 2x – y = 12

Example 15.4 Use elimination to solve:x + y = 28 5x + 10y = 230

Example 15.5 Use elimination to solve:4x – y = 22 2x + 3y = 4

Example 15.6 Use elimination to solve:x + y = x + 25y = 2050