Question

5x+9y=-1, 2x+9y=3 elimination

Answer 1

Answer:

5x+9y=-1 (1)

2x+9y=3 (2)

Step 1

Check whether the coefficient of either if the variables is the same or not.

In this case it is.

In case it us not multiply both the numbers of the same variable with a common number.

Step 2

Check whether the signs of the same numbers of the same variable are opposite or not.

In thus case it is not.

So we change the signs of all the numbers and make it opposite.

5x+9y=-1

2x+9y=3

- - - (Since all the numbers are

positive we make all of it

negative)

Step 3

Find out the value of x

=> 5x+9y=-1

2x+9y=3

- - -

=> 3x=-4

=> x= -4/3

Step 4

Replace x in any one of the equations.

In this case

Replacing x in equation (2)

2x + 9y = 3

2 (4/3) + 9y = 3

8/3 + 9y = 3

9y = 3 - 8/3

9y = (9-8) /3 (Taking LCM)

9y = 1/3

y = (1/3) * (1/9)

y = 1/27

Therefore,

x= -4/3

y= 1/27

Answer 2

Answer:

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