Find the point (x1,x2) that lies on the line x1 +5x2 =7 and on the line x1 - 2x2 = -2.

The point is:

We will solve the given system of equations.

Subtract the second equation from the first one:

Then we plug in the given first equation.

So the point is:

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Given :

Two equation and .

To Find :

The point of intersection of these lines .

Solution :

We will use elimination method :

From equation 1 :

Putting value of in equation 2 we get :

Putting value of in equation 1 we get :

Therefore , point of interaction is .

Hence , this is the required solution .