885 9.1 Systems of Linear Equations Connecting Graphs with Equations Determine the system of equations illustrated in each graph. Write equations in standard form. 41. 0 x y 2 1 3 –3 12 11 15 11 ( , ) 42. 0 x y 2 3 3 –2 5 2 1 2 ( , ) Solve each system of equations. State whether it is an inconsistent system or has infinitely many solutions. If a system has infinitely many solutions, write the solution set with x arbitrary. See Examples 3 and 4. 31. 9x - 5y = 1 -18x + 10y = 1 32. 3x + 2y = 5 6x + 4y = 8 33. 4x - y = 9 -8x + 2y = -18 34. 3x + y = -2 9x + 3y = -6 35. 5x - 5y - 3 = 0 x - y - 12 = 0 36. 2x - 3y - 7 = 0 -4x + 6y - 14 = 0 37. 7x + 2y = 6 14x + 4y = 12 38. 2x - 8y = 4 x - 4y = 2 39. 2x - 6y = 0 -7x + 21y = 10 40. Concept Check Which screen gives the correct graphical solution of the system? (Hint: Solve for y first in each equation and use the slope-intercept forms to answer the question.) 4x - 5y = -11 2x + y = 5 A. −10 −10 10 10 B. −10 −10 10 10 C. −10 −10 10 10 D. −10 −10 10 10 26. 5x + 4y + 2 = 0 4x - 5y - 23 = 0 27. x 2 + y 3 = 4 3x 2 + 3y 2 = 15 25. 6x + 7y + 2 = 0 7x - 6y - 26 = 0 29. 2x - 1 3 + y + 2 4 = 4 x + 3 2 - x - y 3 = 3 30. x + 6 5 + 2y - x 10 = 1 x + 2 4 + 3y + 2 5 = -3 28. 3x 2 + y 2 = -2 x 2 + y 2 = 0
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