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Question

Plot the graph for the following equations:
y=45x+3
5y=4x+15
The above lines represents solutions.

A
zero
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B
one
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C
infinite number of
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Solution

The correct option is C infinite number of
Given equations are y=45x+3 and 5y=4x+15

Plot the line y=45x+3

At x = 0, y = 45(0)+3
y = 3
At x = 15, y = 45(15)+3
y = 15

So, the line passses through the points (0, 3) and (15, 15).

Plot the line 5y=4x+15

At x = 0, 5y = 15
y=155
= 3
At x = 15, 5y = 4(15) + 15
y=755
= 15

So, the line passses through the points (0, 3) and (15, 15).

The graph for the above is:

Since both equations overlap each other throughout the graph, the equations have infinite number of solutions.

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