Question

Solve for x and y and write the value of x +y :
x+6/y=6 , 3x -8/y= 5 ​

Answer 1

Step-by-step explanation:

To get the values of y and x, you can use the substitution method.

x + 6/y = 6 >Transpose 6/y

x = 6 - 6/y

x = (6y - 6)/y Eq.1

3x - 8/y = 5 

3x = 5 + 8/y

3x - 5 = 8/y >Multiply by y

3xy -5y = 8 Eq.2

Plug Eq.1 to Eq.2

3xy -5y = 8

3[(6y - 6)/y] y - 5y = 8

3(6y - 6) -5y = 8

18y - 18 - 5y = 8 >Combine like terms

18y - 5y = 8 + 18

13y = 26 >Divide both sides by 13

y = 26/13

y = 2 ANSWER

Plug in the value of y to Eq.1

x = (6y - 6)/y

x = (6(2)-6)/2

x = (12-6)/2

x = (6)/2

x = 3 ANSWER

Therefore;

x + y = 5 ANSWER

3 + 2 = 5