Question

Give me 4 solutions for the following equation as x and y
2x - 2y -2=0 ,4x - 4y - 5 = 0​​

Answer 1

Given :-

2x - 2y - 2 = 0 ............eq( 1 )

4x - 4y - 5 = 0 ................eq( 2)

Solution :-

Take eq( 1 )

• Let take the value of x is 0

2x - 2y - 2 = 0

2( 0) - 2y = 2

y = 2/-2 = -1

Then , The value of y = -1

• Let take the value of x is 1

2x - 2y - 2 = 0

2( 1 ) - 2y - 2 = 0

2 - 2y = 2

-2y = 2 - 2

y = 0/ -2

y = 0

Then , The value of y is 0

• Let the value of x is 2

2x - 2y - 2 = 0

2( 2) - 2y = 2

4 - 2y = 2

-2y = 2 - 4

y = -2/-2

y = 1

Then , The value of y = 1

• Let the value of x is 3

2x - 2y - 2 = 0

2( 3 ) - 2y - 2 = 0

6 - 2y = 2

-2y = 2 - 6

y = - 4/-2

y = 2

Then , the value of y is 2

Now , Take eq( 2 )

• Let the value of x is 0

4x - 4y - 5 = 0

4( 0) - 4y - 5 = 0

-4y = 5

y = -5/4

Then , The value of y is -5/4

• Let the value of x is 1

4x - 4y - 5 = 0

4( 1 ) - 4y = 5

-4y = 5 - 4

y = 1/-4

y = -1/4

Then , The value of y is -1/4

• Let the value of x be 2

4( 2 ) - 4y - 5 = 0

8 - 4y = 5

-4y = 5 - 8

y = -3/-4

y = 3/4

Then , The value of y is 3/4

• Let the value of x be 3

4( 3 ) - 4y - 5 = 0

12 - 4y = 5

-4y = 5 - 12

-4y = -7

y = -7/-4

y = 7/4

Then , The value of y is 7/4