This is the basic and conceptual question from linear equations in two variables in which we have been asked to find the value of variables x and y from the equations bx/a-ay/b+a+b=0, bx-ay+2ab=0
Kindly solve the above equations
RS Aggarwal, Class 10, chapter 3B, question no 46
bx/a−ay/b+a+b=0
b²x−a²y+a²b+ab²=0......(i)
bx−ay+2ab=0.......(ii)
Multiply equation (ii) by b
b²x−a²y+a²b+ab²=0
b²x−aby+2ab²=0
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−a²y+aby+a²b−ab²=0
ay(−a+b)=−a²b+ab²
ay(−a+b)=ab(b−a)
ay=ab
y=b
Substitute y=b in equation (i)
b²x−a²b+ab²=0
b²x=−a²b
x=−a
So, x=−a,y=b