Question

x +y/2=4;x/3+2y=5 soolve for. x and y​

Answer 1

x+y/2=4

2x+y=8.......1

x/3+2y=5

x+6y=15.......2

then from 1

y=8-2x

put in 2

x+6(8-2x)=15

x+48-12x=15

-11x=15-48

-11x=-33

x=3

then

y=8-2x

y=8-2(3)

y=8-6

y=2

hopes helps ❤️❤️❤️

Answer 2

$\Large{\textbf{\underline{\underline{According\;to\;the\;Question}}}}$

x + y/2 = 4 …………...(a)

x/3 + 2y = 5…………...(b)

Now,

Multiply (a) by 4 we get,

4x + 4y/2 = 16

4x + 2y = 16 ………..(c)

Now

Subtract (b) from (c) we get,

4x - x/3 = 11

(4x × 3 - x)/3 = 11

(12x - x)/3 = 11

11x = 11 × 3

11x = 33

x = 33/11

x = 3

Now,

Substituting value of x in (b)

x/3 + 2y = 5

3/3 + 2y = 5

1 + 2y = 5

2y = 5 - 1

2y = 4

y = 4/2

y = 2

Therefore,

x = 3 & y = 2