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Question

By the graphical method, find whether the following pair of equations are consistent or not. If consistent, solve them.
x+y=3 and 3x+3y=9

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Solution


Table of eq1
x 123
y 21 0
Table of eq2
x1 2 3
y2 1 0
The given equation can be written as
x+y3=0 .......eq1 and 3x+3y9=0 .........eq2
Here, a1a2=13,b1b2=13,c1c2=39=13
a1a2=b1b2=c1c2
Thus, the given pair of equation is consistent.
353621_81133_ans_e1b29a8d84f44c3f88cbfd7ce63dce4b.png

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