This question is from linear equations in two variables in which we have to find the value of variables x and y from the equations (x+y-8)/2 = (x+2y-14)/3 = (3x+y-12)/11
Kindly solve these equations
RS Aggarwal, Class 10, chapter 3B, question no 17
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Consider two equations,
(x+y−8)/2​=(3x+y−12​)/11   …………(1)
(x+y−8​)/2=(x+2y−14​)/3  ………….(2)
After solving (1) we get,
5x+9y=64Â Â Â Â Â Â Â Â Â Â Â Â Â Â …………..(3)
After solving (2) we get,
x−y=−4
or
9x−9y=−36             ……………(4)
Adding (3) and (4) we get,
14x=28
∴x=2
Re substituting x=2 in (3) we get,
y=6