Question

The denominator of fraction is 4 more than twice the numerator. When both the numerator and denominator are decreased by 6 then denominator becomes 12 times the numerator. Find the fraction ( linear equations in two variable )

Answer 1

y=2x+4y=2x+4 or

2x−y=−42x−y=−4

y−6=12(x−6)y−6=12(x−6)

=> y=12x−72y=12x−72

=> y=12x=−66y=12x=−66

or 12x−y=6612x−y=66

2x−y=−42x−y=−4

−12x−y=66−12x−y=66

________________

−10x=−70−10x=−70

x=7x=7

∴y=18∴y=18

Hence the fraction is 718