Question

Solve 3x+2y=11/3 and 7x+5y=31/3

Answer 1

very easy dude
check it this
sorry for poor handwriting
x= -7
y= 16/3

Answer 2

3x+2y=11/3

Since it's a linear equation in two variables, we can assign a value for any one of the variables. Linear equations in two variable have infinite solutions. In this case we will be assigning for variable x.

When x = 0,

3*0 + 2y = 11/3

0 + 2y = 11/3

2y = 11/3

y = 11/3/2

y = 11/3*1/2

y = 11/6

Solution is (0, 11/6)

You can put different values for x as it has infinite solutions.

7x+5y=31/3

Since the above expression is also a linear equation in two variable, the same will be done.

When x = 2,

7*2 + 5y = 31/3

14 + 5y = 31/3

5y = 31/3 - 14

LCM = 3 (-14/1*3/3 = -42/3)

5y = 31/3 - (-42/3)

5y = 73

y = 73/5

Solution is (2, 73/5)

Hope it helps :)