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MATHEMATICS FOR AIR CREW TRAINEES   36

[[image]]
FIGURE 36.

d. Exercises. - Solve graphically-

(1) 
x+y=3
x-2y=0

(2)
2y-3x=0
4y+3x=-18

(-2,-3) Answer.

(3)
x+2y=4
3x-y=6

(4) 
5y-3=0
10y+3x=4

(-2/3, 3/5) Answer.

e. Under certain circumstances, curves other than straight lines are plotted in pairs and their intersection found.

Example: Find graphically the values of x and y which satisfy the following two equations simultaneously:

2y=x²
y+x=4 
 
Solution: By graphing each equation separately on the same par of coordinate axes, a curve is obtained, every point of which has coordinates satisfying the equation 2y=x²; and the line AB is obtained, every point of which has coordinates satisfying the equation y+x=4.

The intersections of the curve and the straight line are the points P and Q the coordinates of which (2,2) and (-4,8) are the only ones satisfying both of the given equations.

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Transcription Notes:
[[image: X-Y graph showing two equations intersecting]]