WARM UP 3 WRITING EQUATIONS Write in slope-intercept form the equation of the line that passes through the given point and has the given slope. (Lesson.

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Presentation transcript:

WARM UP 3 WRITING EQUATIONS Write in slope-intercept form the equation of the line that passes through the given point and has the given slope. (Lesson 5.2, 5.3) (-2, 4), m = 3 (5, 1), m = 5

WARM UP 2 WRITING EQUATIONS Write in slope-intercept form the equation of the line that passes through the given point and has the given slope. (Lesson 5.2, 5.3) (-2, 4), m = 3 (5, 1), m = 5

WARM UP 1 WRITING EQUATIONS Write in slope-intercept form the equation of the line that passes through the given point and has the given slope. (Lesson 5.2, 5.3) (-2, 4), m = 3 (5, 1), m = 5

WARM UP WRITING EQUATIONS Write in slope-intercept form the equation of the line that passes through the given point and has the given slope. (Lesson 5.2, 5.3) (-2, 4), m = 3 (5, 1), m = 5

7.3 Linear Combinations Solve by Linear Combinations EXAMPLE 3 Solve by Linear Combinations Solve the linear system x – 3y = 30 EQUATION 1 3y + x = 12 EQUATION 2 SOLUTION ① ARRANGE the equations with like terms in columns.

7.3 Linear Combinations Solve by Linear Combinations EXAMPLE 3 Solve by Linear Combinations Solve the linear system x – 3y = 30 EQUATION 1 3y + x = 12 EQUATION 2 SOLUTION ②ADD the equations.

7.3 Linear Combinations Solve by Linear Combinations EXAMPLE 3 Solve by Linear Combinations Solve the linear system x – 3y = 30 EQUATION 1 3y + x = 12 EQUATION 2 SOLUTION ③ SUBSTITUTE 21 for x into either equation and solve for y. ANSWER> The solution is (21 , -3)

7.3 Linear Combinations CHECK POINT 3x + 2y = 8 2y = 12 – 5x Solve the linear system by Linear Combination. 3x + 2y = 8 2y = 12 – 5x 2x + 5y = -11 5y = 3x -21 4x + 7y = -9 3x = 3y + 18 CHECK POINT