Solve 2x - 2y = 2 And 4x + 4y = 5 Linear equations In two Variables.

Given: 2x - 2y = 2 And 4x + 4y = 5

To find: We have to find the values of x, and y.

Solution: 

2x - 2y = 2   ...(i)

And

4x + 4y = 5   ...(ii)

Now,

Multiply eq (i) with 2

=> (2x - 2y = 2) x 2

4x - 4y = 4   ...(iii)

Add eq (ii) with eq (iii):

=> 4x + 4y + 4x - 4y = 5 + 4

=> 8x = 9

=> x = $\ \frac{9}{8}$

Put this value of x in eq (i):

=>  $2\left(\frac{9}{8}\right) \ -\ 2y\ =\ 2$

=> $\ \left(\frac{9}{8}\right) \ -\ y\ =\ 1$

=> $\left(\frac{9}{8}\right) \ -\ 1\ =\ y$

=>  y = $\ \frac{1}{8}$

So, value of x and y are $\frac{9}{8} \ and\ \frac{1}{8}$ respectively.