An important and conceptual question from linear equations in two variables in which we have to find the number of solutions of given equations x+2y-8=0, 2x+4y=16
Kindly solve the above equations
RS Aggarwal, Class 10, chapter 3F, question no 1
Rajan@2021Guru
Write the number of solutions of the following pair of linear equations: x+2y-8=0, 2x+4y=16
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x+2y=8
And 2x+4y=16
These given equations are in the form:
a1x+b1y+c1=0 and
a2x+b2y+c2=0
Where
a1=1,b1=2 and c1=8
a2=2,b2=4 and c2=16
a1/a2=1/2, b1/b2=2/4=1/2
As we know, the condition for the equations to have infinitely many solutions is
a1/a2=b1/b2=c1/c2
So, system has infinitely many solutions