1.

Check whether (5,-1) is a solution of the simultaneous equations x - 2y =7 and 2x + 3y = 7.

Answer»

Let x = 5 & y = -1

x - 2y = 5 - 2(-1) = 5 + 2 = 7 (satisfied)

∴ x = 5, y = 1 is a solution of equation x - 2y = 7.

Now, 2x + 3y = 2 x 5 + 3 x (-1) = 10 - 3 = 7

∴ x = 5, y = - 1 is also a solution of equation 2x + 3y = 7

Hence, (5, -1) is a solution of the simultaneous equations x - 2y = 7 & 2x + 3y = 7.



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