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Question
Solve the following systems of equations:
7(y + 3) − 2(x + 2) = 14
4(y − 2) + 3(x − 3) = 2
Solution
The given equations are:
7(y + 3) − 2(x + 2) = 14.............(i)
7y - 2x = -3
4(y − 2) + 3(x − 3) = 2
4y + 3x = 19
Multiply equation (i) by and equation (ii) by and add both equations we get
21y - 6x = -9
8y + 6x = 38
_______________
29y = 29
y = 1
Put the value of x in equation (i)we get
7 x 1 - 2x = -3
=> -2x = -10
=> x = 5
Hence the value of x = 6 and y = 1
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