Draw the graphs of x – 2y = 1 and 2x + 3y = 12, using values of x: - 3 to 3. Find the solution coordinates of their point of intersection.
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First, we rewrite the equation 2x+3y=12 in the form of y=mx+c.
2x+3y=12 implies y=−
3
2
x+4
Substituting x=−3,0,3 in the above equation, we find the values of y as follows
y=−
3
2
x+4
x −3 0 3
−
3
2x 2 0 −2
y=3/2
x+4 6 4 2
Plot the points (−3,6),(0,4) and (3,2) and draw a line passing through these points. Now we get the required graph
Step-by-step explanation:
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