6x + 5y = 7 and 2x + 3y = 3

x = 3 / 4

y = 1 / 2

Step-by-step explanation:

6x + 5y = 7 (first equation)

2x + 3y = 3 (second equation)

Finding the value of x from the first equation

6x = 7 - 5y

x = 7 - 5y / 6 (third equation)

By applying the third equation in second equation

2 (7 - 5y / 6) + 3y = 3

14 - 10y / 6 + 3y = 3

14 - 10y / 6 + 18y / 6 = 3 (Taking LCM)

14 + 8y / 6 = 3

14 + 8y = 3 * 6 (when division passes from one side of the = sign, it becomes * )

14 + 8y = 18

8y = 4

y = 1 / 2 (fourth equation)

By applying fourth equation in second equation

6x + 5 / 2 = 7

12x + 5 / 2 = 7 (taking LCM)

12x + 5 = 14

12x = 9

x = 9 / 12

x = 3 / 4

therefore the value of x = 3 / 4 and value of y = 1 / 2