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Solve for x and y:
2x – 3y = 13,
7x – 2y = 20

Solution:

The given system of eq. is:

When multiplying equation(i) by 2 and equation(ii) by 3 , we obtain:


On subtracting equation(iii) from equation(iv) we obtain:

On substituting the value of in equation(i), we obtain:

As a result, the solution is and .