Warm Up Find the solution to linear system using the substitution method. 1) 2x = 82) x = 3y - 11 x + y = 2 2x – 5y = 33 x + y = 2 2x – 5y = 33.

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Presentation transcript:

Warm Up Find the solution to linear system using the substitution method. 1) 2x = 82) x = 3y - 11 x + y = 2 2x – 5y = 33 x + y = 2 2x – 5y = 33

5.3 Solving Linear Systems by Elimination Objective: Solve a system of linear equations by linear combinations.

EXAMPLE 1 Linear Combination Solve the linear system. 4x + 3y = 16 Equation 1 2x – 3y = 8 Equation 2 Step 1: Line up equations Step 2: Add both equations to cancel out one of the variables. Step 3: Solve for the remaining variable Step 4: Substitute your answer for step 3 into either equation to solve for the other variable. 6x = 24 x = 4

Solve the linear system. Then check your solution Checkpoint Add the Equations 1. 6y = 12Step 2 Step 1 y = 2 Step 3 Step 4

Solve the linear system. Then check your solution Try It Out! 2.

Try It Out! 1) x + 3y = 6 2) 3x - 4y = 7 3) 2y = 2x – 2 x – 3y = 12 -8x+ 4y = -12 2x + 3y = 12 x – 3y = 12 -8x+ 4y = -12 2x + 3y = 12

Homework Page #1 - 4 &

Warm Up 1) x + 3y = 2 2) 3x - 4y = 7 3) y = 2x – 2 x – 3y = 12 -3x+ 4y = -12 2x + 4y = 12 x – 3y = 12 -3x+ 4y = -12 2x + 4y = 12

EXAMPLE 2 Multiply Then Add Solve the linear system. 3x + 5y = 6 Equation 1 -4x + 5y = 15 Equation 2

EXAMPLE 2 Multiply Then Add Solve the linear system. 3x + 5y = 6 Equation 1 -4x + 2y = 5 Equation 2

Solve the linear system. Then check your solution Checkpoint Multiply Then Add 3.

Solve the linear system. Then check your solution Try It Out! 4.

In Class Assignment Page 269 #