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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. 61
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[[image: X-Y graph showing two equations intersecting]]