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Question

Solve graphically x3y=6; x3y+9=0

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Solution

Let us find three points for each equation, by choosing three x values and computing the corresponding y values. We present our results in the tables.
Line 1: x3y=6
3y=x6y=x32
Substituting x=3,0,3 in the above equation, we get the values of y as follows
y=x32
x303
x3 101
y=x32 32 1
Line 2: x3y+9=0
3y=x+9
y=x3+3
Substituting x=3,0,3 in above equation, we get
y=x3+3
x 3 0 3
x3 101
y=x3+3 234
We plot the points (3,3), (0,2) and (3,1) in the graph sheet and draw the line through them. Next, we plot the points (3,2), (0,3) and (3,4) in the same graph sheet and draw the line through them. We find that the two graphs are parallel. That is no point is common to both lines. So, the system of equations has no solution.
1089091_618912_ans_d97de5ff3cb1472b96bc1fd38ccb4c4c.jpg

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