Question

Find the value for x, y for : 41x+53y=135, 53x+41y=147

• A. 2, 1
• B. -1, 2
• C. -2, 1
• D. -1, -2

Answer 1

The correct option is A

2, 1

41x+53y=135 .................(i)

53x+41y=147 ..............(ii)

By adding (i) and (ii), we get

94x+94y=282 $\Rightarrow$ x+y=3 ..................(iii)

By substracting (ii) from (i), we get

-12x+12y=-12 $\Rightarrow$ -x+y=-1 ...................(iv)

Adding (iii) and (iv), we get

2y-2 $\Rightarrow$ y=1

Substituting value of y in (iii) we get

x+1=3 $\Rightarrow$ x=2

$\therefore x=2,y=1$