Solving Systems of Linear Equations by the Addition Method Examples Example 1 Summary 305 3x 4y 18 9x 12y 54 5x 3y 1 20x 12y 4 3122 4y 18 6 4y 18 4y 12 y 3 29x 58 x 2 The ordered pair (2,3) checks in both equations. The solution set is 512, 326. Key Concepts Addition Method 1. Write both equations in standard form . Ax By C 2. Clear fractions or decimals (optional). 3. Multiply one or both equations by nonzero constants to create opposite coefficients for one of the variables. 4. Add the equations from step 3 to eliminate one variable. 5. Solve for the remaining variable. 6. Substitute the known value from step 5 back into one of the original equations to solve for the other variable. 7. Check the ordered pair in both equations and write the solution set. Mult. by 3. Mult. by 4. Section 3.3
miller_intermediate_algebra_4e_ch1_3
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