Solve the set of equations 3x - 2y = 10 and 4x - y = 5 only using elimination

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The following set of equations has to be solved :

3x - 2y = 10 ...(1)

4x - y = 5 ...(2)

4*(1) - 3*(2)

=> 12x - 8y - 12x + 3y = 40 - 15

=> -5y = 25

=> y = -5

(1) - 2*(2)

=> 3x - 8x - 2y + 2y = 10 - 10

=> -5x = 0

=> x = 0

The solution of the given set of equations is x = 0 and y = -5

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