Question

2x-3y = 7 and 5x- y=9​

Answer 1

Answer:

x= 13/4 y= 49/9

Step-by-step explanation:

multiply 2nd eqn by 3

we will get

15x-3y = 27

2x-3y=7

so 13x = 20 that means x=13/20

put value of x in second equation we get = 13/4 -y=9

so y = 13/4+9 = 49/9

Answer 2

$\boxed{ \boxed{ \huge \mathfrak{ \: S }\rm{olution - }}}$

Solving by elimination method -

2x - 3y = 7 ________(i) ×1

5x - y = 9 ________(ii) ×3

⇰ 2x - 3y = 7

⇰ 15x - 3y = 27

Now,

⠀⠀⠀⠀⠀⠀⠀⠀2x - 3y = 7

⠀⠀⠀⠀⠀⠀⠀ 15x - 3y = 27

⠀⠀⠀⠀⠀⠀⠀(+) (+) (+)

⠀⠀⠀⠀__________________

⠀⠀⠀⠀⠀⠀⠀17x = 34

⇰ x = 34/17

⇰ x = 2.

Now, substituting the value of x in eq. (i),

⇰ 2x - 3y = 7

⇰ 2 × (2) - 3y = 7

⇰ 4 - 3y = 7

⇰ -3y = 7 - 4

⇰ -3y = 3

⇰ y = 3/-3

∴ y = -1.

So,

Required answer -

$\red{ \boxed {\red{ \boxed {{ \sf \: x = 2 \: \: \: \: \: \: \: \: \: \: \: \: \sf \: y = - 1}}}}}$

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@MissSolitary✌️

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