Question

If 3x+2y=5xy and 3y-x=-9xy, then find the values of x and y

Answer 1

Step-by-step explanation:

Given -

• 3x + 2y = 5xy
• -x + 3y = -9xy

To Find -

• Value of x and y

Now,

By Elimination method :-

⇝[ 3x + 2y = 5xy ] × 1

[ -x + 3y = -9xy ] × 3

⇝3x + 2y = 5xy

-3x + 9y = -27xy

_____________

⇝11y = -22xy

⇝x = -1/2

Now,

Substituting the value of x on 3x + 2y = 5xy, we get :

⇝3(-1/2) + 2y = 5×-1/2×y

⇝-3/2 + 2y = -5y/2

⇝-3 + 4y/2 = -5y/2

⇝-5y - 4y = -3

⇝-9y = -3

⇝y = 1/3

Hence,

The value of x is -1/2 and y is 1/3

Verification :-

• 3x + 2y = 5xy

⇝3(-1/2) + 2(1/3) = 5×-1/2×1/3

⇝-3/2 + 2/3 = -5/6

⇝-9 + 4/6 = -5/6

⇝-5/6 = -5/6

LHS = RHS

And

• -x + 3y = -9xy

⇝-(-1/2) + 3(1/3) = -9×-1/2×1/3

⇝1/2 + 1 = 3/2

⇝1 + 2/2 = 3/2

⇝3/2 = 3/2

LHS = RHS

Hence,

Verified...

Answer 2

expression x-2=7 is 28 +2=3 finda.the value of​ If p(y) = y+3 then P(y) + p(-y) is equal to​ ...