check graphically whether the pair of equations 3x-2y+2=0 and 3/2x-y+3=0 are consistent. Also find the co ordinates of the points where the graphs of the equations meet at y axis
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The solution set of equation 3x−2y=0 is as follows:
If x=0 then
3×0−2y=0⇒0−2y=0⇒−2y=0⇒y=0
If x=−2 then
3×(−2)−2y=0⇒−6−2y=0⇒−2y=6⇒y=−3
The required points are (0,0),(−2,−3).
Another equation of line given is y+3=0 or y=−3.
Plot all the above points in the graph. Since the point of intersection in the graph is (−2,−3).
Hence the solution is x=−2,y=−3.
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