Question

3/2x+5/3y=7;9x-10y=14​

Answer 1

Answer :

x = 17/6 , y = 7/4

Step-by-step explanation :

$\frac{3x}{2}+\frac{5y}{3}=7\\\\ =>9x+10y=42...(1)\\\\9x-10y=14...(2)$

Now (1) - (2) , we get ,

$(9x+10y)-(9x-10y)=42-14\\\\=>20y=28\\\\=>y=\frac{7}{4}$

sub. y = 7/4 in (1) , we get ,

$9x+10(\frac{7}{4} )=42\\\\=>9x+\frac{35}{2} =42\\\\=>18x+35=84\\\\=>18x=51\\\\=>x=\frac{17}{6}$

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