Find the value of c for which the pair of equations : 2x + cy = 1; 3x + 5y = 7 will have (i) a unique solution; (ii) no solution. Is there a value of c for which the system has infinite number of solutions?
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here is your answer by Sujeet,
for unique solution
a1/a2≠b1/b2
2/3≠c/5
3c=10
c=10/3
For no solution,
a1/a2= b1/b2≠ c1/c2
2/3=c/5
c=10/3. or b1/b2≠c1/c2
or c/5=1/7
or 7c=5
or c=5/7
For infinitely solution,
we must be have,
a1/a2=b1/b2=c1/c2
2/3=c/5=1/7
take two Lines,
2/3=c/5
c=5*2/3
c=10/3
yes, there are a value of c for the system has infinitely number of solution....
that's all
for unique solution
a1/a2≠b1/b2
2/3≠c/5
3c=10
c=10/3
For no solution,
a1/a2= b1/b2≠ c1/c2
2/3=c/5
c=10/3. or b1/b2≠c1/c2
or c/5=1/7
or 7c=5
or c=5/7
For infinitely solution,
we must be have,
a1/a2=b1/b2=c1/c2
2/3=c/5=1/7
take two Lines,
2/3=c/5
c=5*2/3
c=10/3
yes, there are a value of c for the system has infinitely number of solution....
that's all
mohitmahajan7623:
how the solution be of infinite number of solutions 2.3 is not equals to 1 upon 7
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