1. (10 points) Solve each of the following systems by graphing: 2x + 3y = 6 3x - 2y=6 4x=-6y +12 x-4y=-8 -6 -6 5 4 5 -4. 3. 2 3. -6 -5 4 3 2 1 1 2 3 -6 5 4 -3 -2 -1 1 21 31 4 5 6 1 4 -6 -6 2. (10 points) Solve each of the following systems: (3x - 5y = 11 2x-6y=2 y = 3x + 5 5x-2y=-7)
2. x+4y= 14 2x - y=1 x=2, y=3 3. 5x + 3y = 1 3x + 4y = -6 x=2, y=-3 | 4, 2y- 6x =7 3x - y=9 No solution/Parallel lines
f. g(f(x)) 5) Solve the system of equations (4.1) (5x + 4y = 7 (2x + 7y=-8 6) Graph the inequality 3x + 5y > 30. (5.1) 7) Graph the system of linear inequalities (5.2) 3x + 2y = 22 (5x + 7y = 55 8) Find the value of an investment in an account (2.5, 3.1, 3.2) a. Bearing 4% simple interest after 5 years.
SYSTEMA 3x +2y = 8 5x-3y = 7 GRAPHING METHOD SUBSTITUTION METHOD ELIMINATION METHOD Collaborative Learning Activities
Name Date Period Kuta Software Solving Systems of Equations by Substitution Solve each system by substitution. 1) y=6x-11 2) 2x - 3y = -1 -2x - 3y =-7 y=x-1 3) y=-3x + 5 5x - 4y=-3 4) -3x – 3y = 3 y=-5x-17 5) y=-2 4x - 3y = 18 6) y = 5x - 7 -3x - 2y=-12 7) y=-3x - 19 5x + 8y = 0 8) y = 5x - 3 -x + 7y=-21
Please answer questions 51,52 & 53 And include all work. Thanks. 3-58, solve the system by using the elimination method. 33. 4x + 3y = 7 35. 3x-2y=1 ad 34. x 2y x+2y = 3 36, 2x-2y = 1 -2x tys3 38. y=2x-4 y=4-2x 40. 2x-5y = 7 2x + 2y = 5 42, 3x-4y = 7 - 3y3 3x y3 37, y = 3x + 5 y=5-3x 39. 3x+2y=10 41, 2x-3y = 5 3x-3y = 1 43, 3x+5y =...
Find the x-intercept and the y-intercept of each equation. 33. - 3x + 2 y = 12 34 34. 2x – 3y = 24 CHAP FUN Find the slope of the line through each pair of points. 36. (-8, 6) and (-8,-1) In ma relati types an ir 35. (-12, 3) and (-12, -7) 37. (6, -5) and (-12,-5) Find the slope of each line. 38. 3x – 2y = 3 40. x = 6 39. y = 5x +12...
8 Minimize z= x + 3y 9 + 22 54 + 4yΣ Subject to 2y + 2 > ΛΙ ΛΙ ΛΙΛΙ ΛΙ 14 O Σ Ο Minimum is Maximize z = 4x + 2y 32 + 4y < < 32 5x + 5y < Subject to 0 VI VI ALAI y 0 Maximum is
3. Solve the system of equations 5x + 3y + z 23 3x + 4y-z 21 4x + 5y 2z 26 4. Solve the system of equations. 4x-2y + 3z 27 5x 7y + 4z 39
Solve the systems of equations by substitution #11 2x-y-2 3x+4y-6 Solve each system by elimination or by any convenient method #13 a) 3x+4y-1 2x-3y-12 b) -4x+3y--!5 3x-2y-4