slove the following sets of simultaneous equations. 1. 2x-7y=7;3x+y=22
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Answer:
x = 2 and y = 1
Step-by-step explanation:
Here, 2x-7y = 7 ———— (i)
3x+y = 22 ————(ii).
Now, multiplying eqn. (i) with 3 and eqn. (ii) with 2 and then subtracting (ii) from (i), we get ---------
{3(2x-7y)} - {2(3x+y)} = 3×7 - 2×22
=> 6x - 21y - 6x - 2y = 21 - 44
=> -23y = -23
=> y = 1
Now, putting y = 1 in eqn. (ii) ------------
3x + 1 = 7 => 3x = 6 => x = 2
So, the answer is x = 2 , y = 1.
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