Use a graphing calculator to solve the system. Round to the nearest thousandth.

26) √(2)x – y = 7

100x + y = 9

A) {(0.154, -6.444)}

B) {(0.158, -6.777)}

C) {(0.020, 6.971)}

D) {(0.157, -6.686)}

27) (9/7)x + y = 5

0.4x – y = 3

A) {(2.258, 2.097)}

B) {(4.746, -1.102)}

C) {(-2.947, 8.789)}

D) ∅

28) 0.4x + √(2)y = 1

√(5)x + 0.8y = 1

A) {(0.176, 0.757)}

B) {(0.097, 0.980)}

C) {(0.216, 0.646)}

D) ∅

29) √(2)x + √(7)y – 3 = 0

√(3)x – y – √(6) = 0

A) {(1.670, 0.443)}

B) {(1.581, 0.289)}

C) ∅

D) {(1.099, 0.547)}

30) 1.2x + √(7)y = -8

-4.5x – √(5)y = 10

A) {(-0.929, -2.602)}

B) ∅

C) {(0.584, -3.290)}

D) {(4.808, -5.205)}

31) ex + πy = 4

πx – ey = 3

A) {(3.154, 1.201)}

B) {(1.176, 0.256)}

C) {(0.562, 1.778)}

D) ∅

Draw a sketch of the two graphs described, with the indicated number of points of intersection.

32) A line and an ellipse; two points

A)

B)

C)

D)

33) A line and a parabola; one point

A)

B)

C)

D)

34) A circle and an ellipse; two points

A)

B)

C)

D)

35) A circle and an ellipse; four points

A)

B)

C)

D)

36) A parabola and a circle; three points

A)

B)

C)

D)

37) A parabola and a hyperbola; four points

A)

B)

C)

D)

38) An ellipse and a hyperbola; four points

A)

B)

C)

D)

39) A parabola and a hyperbola; one point

A)

B)

C)

D)

40) A parabola and a hyperbola; three points

A)

B)

C)

D)

41) Two parabolas; four points

A)

B)

C)

D)

Solve the system graphically. Do not use a calculator.

42) (x+y=0) (2x+y=2)

A) {(-2, 2)}

B) {(2, -2)}

C) {(-2, -2)}

D) {(2, 2)}

43) (x-y=0)(2x-y=3)

A) {(3, 0)}

B) {(-3, 3)}

C) {(3, 3)}

D) {(-3, -3)}

44) (x^{2}+y^{2}=5)(x-y=1)

A) {(-2, -1), (-1, -2)}

B) {(2, 1)}

C) {(-1, 2)}

D) {(2, 1), (-1, -2)}

45) (x^{2}-y=-1)(x^{2}+y^{2}=5)

A) {(-1, 2), (1, 2)}

B) {(-1, 2)}

C) {(-1, -2), (1, 2)}

D) {(1, 2)}

46) (x-y^{2}=-8)(x^{2}+y^{2}=10)

A) {(1, -3)}

B) {(1, 3)}

C) {(1, 3), (-1, -3)}

D) {(1, 3), (1, -3)}

47) (x^{2}-y^{2}=21)(x-y=7)

A) {(-2, 5)}

B) {(5, -2)}

C) {(2, 5)}

D) {(-5, -2)}

Solve the nonlinear system of equations.

48) x^{2} + y^{2} = 85

x + y = 13

A) {(-7, 6), (-6, 7)}

B) {(-7, -6), (-6, -7)}

C) {(7, -6), (6, -7)}

D) {(7, 6), (6, 7)}

49) x^{2} + y^{2} = 41

x – y = 1

A) {(4, -5), (5, -4)}

B) {(4, 5), (5, 4)}

C) {(-4, 5), (-5, 4)}

D) {(-4, -5), (5, 4)}

50) x^{2} – y^{2} = 39

x – y = 3

A) {(8, 5)}

B) {(-8, 5)}

C) {(8, -5)}

D) {(-8, -5)}

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