Question

Find all possible solutions of the following pair of linear equation : 5x+6y=16 & 2x-2y =2

Answer 1

Answer:

5x+6y=16(×2)

2x-2y=2(×5)

Using elimation method

10x+12y=32

10x-10y=10

- + -

________

22y=22

y=22

__

22

y=1

Then2x-2(1)=2

2x-2=2

2x=4

x=2

Y=1 / x=2 answer

Answer 2

Answer:

The value of y = 1 and x = 2.

Step-by-step explanation:

Given:

5x + 6y = 16

2x - 2y = 2

To find:

all possible solutions by the pair of linear equations.

Step 1

Let, 5x+6y=16 .....(1)

2x-2y =2 .....(2)

Multiplying (1) by 2, we get

2 (5x+6y = 16) = 10x+12y=32

Multiplying (2) by 5, we get

5 (2x - 2y = 2) = 10x - 10y = 10

Step 2

Using Elimination method

10x + 12y = 32 -

10x - 10y = 10

____________

22y = 22

   y = 22/ 22

___________

     y = 1

Step 3

Substituting the value of y  in (2), we get

2x - 2 (1) = 2

Simplifying the above equation, we get

2x - 2 = 2

2x = 4

x = 2

Therefore, the value of y = 1 and x = 2.

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