For what value of k will the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent?

After solve the equations we get value of k=3

Step-by-step explanation:

We need to find value of k for which the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent.

If the lines are concurrent, they pass through same point.

Let:

First solving equation 1 and 2 to find values of x and y

From eq(1) we find value of x and put it in eq(2)

After solving we get value of y=-1

Now putting in eq(1) to get value of x

So, Value of x= 2

Now put value of x=2 and y=-1 into eq(3) to find value of k

So, After solve the equations we get value of k=3

step-by-step explanation:

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step-by-step explanation:

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