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Question

The equation 3x−1+5x−1=34 has

A
one solution
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B
two solutions
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C
three solutions
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D
four solutions
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Solution

The correct option is A one solution
The total number of solutions are same as the number of points of intersection of the given curves.
y=3x1+5x1 and y=34, as shown in the graph.

It is evident that these two curves intersect at exactly one point.

Exactly one solution exists.

Hence, option 'A' is correct.
145481_122936_ans.png

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