Mini-Lecture 4.3 Solving Systems of Linear Equations by Addition | Montgomery College - Edubirdie

University:
Montgomery College
Course:
MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems
Academic year:

2023
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328

Pages:

1
Author:

Kaiden Murphy

Mini-Lecture 4.3 Solving Systems of Linear Equations by Addition Learning Objectives: 1. Use the addition method to solve a system of linear equations. Examples: 1. Solve each system of equations by the addition method. ⎧x + y = 5 a) ⎨ ⎩ x − y = 11 b) ⎧ − x + 4 y = 28 ⎨ ⎩ −6 x − 4 y = − 5 6 Solve each system of equation by the addition method. If a system contains fractions or decimals, you may want to first clear each equation of fractions or decimals. ⎧ x + 5 y = 49 c) ⎨ ⎩−7 x + 4 y = −31 ⎧x + 3y = 2 d) ⎨ ⎩ 4 x + 2 y = 18 ⎧ −2 x − 7 y = − 6 e) ⎨ ⎩5 x − 3 y = −26 f) g) ⎧ − x − 2 y = −4 ⎨ ⎩5 x + 10 y = 8 1 ⎧ ⎪⎪3 x + 3 y = 10 i) ⎨ ⎪2 x + 2 y = 4 ⎪⎩ 3 ⎧5 x + 8 y = 1 ⎨ ⎩2 x + 3 y = 2 ⎧4 x − 6 y = 1 h) ⎨ ⎩ 20 x − 30 y = 3 j) ⎧3.5 x + 0.3 y = −18.7 ⎨ ⎩0.7 x + 0.9 y = −7.1 Teaching Notes: • • • • Encourage students to discuss which variable is the easiest to eliminate and what number an equation should be multiplied by to make the elimination possible. Remind students that there can be more than one way to solve a system. Remind students to check their solution. Each section in the text has 3 worksheets in the Extra Practice featuring differentiated learning. Answers: 1a) (8, -3); 1b) (4, 8); 1c) (9, 8); 1d) (5, -1); 1e) (-4, 2); 1f) (13, -8); 1g) no solution; 1h) no solution; 1i) (4, -6); 1j) (-5, -4)

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