Question

Solve the following systems of equations by elimination
4x - 5y = 9
- 6x + 5y = -11​

Answer 1

I hope it work

Explanation:

• 4x-5y=9
• -6x+5y=-11

adding both the equations

4x-5y=9

-6x+5y=-11

-2x+0y=-2

-2x=-2

Now divide both sides by -2

-2/-2 x= -2/-2

x=1

Now putt the value of x in one of above equation to get value of y

4(1)-5y=9

now solve this

-5y=9-4

-5y=5

divide -5 to both sides

y= -1

These are he required value of x and y

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Answer 2

Therefore, x = 1 and y = -1 .

Explanation:

The steps are :

`4x - 5y = 9 - - - (1)`

`- 6x + 5y = - 11 - - - (2)`

`(1) + (2)`

`4x + ( - 6x) = 9 + ( - 11)`

`- 2x = - 2`

`x = 1`

`sub \: x = 1 \: into \: (2)`

`(2)⇒`

`- 6(1) + 5y = - 11`

`- 6 + 5y = - 11`

`5y = - 11 + 6`

`5y = -5`

`y = -1`