which systems of linear equations has the ordered pair(4,-5)as a solution?
A)2x-5y=-30 and 7x+4y=-19

B)6x-y=-29 and 8x+3y=-17

C)3x-2y=22 and 2x+9y=-37

D)5x-6y=49 and x+8y=-27

Respuesta :

Answer:

The answer is C

Step-by-step explanation:

3x-2y=22 and 2x+9y = -37

The pair of the equations 3x-2y=22 and 2x+9y=-37 have a perfect solution at ( 4,-5 ).

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

  • which systems of linear equations have the ordered pair(4,-5)as a solution

Checking the equations at the point (4,-5) if the equation will satisfy this point then it will be the solution

3x     -    2y    =      22

3 ( 4 ) -  2 ( -5 )  =  22

12  +  10   =  22

22  =   22

Now for the second equation:-

2x    +   9y   =   -37

2 ( 4 )   +  ( 9 x  -  5 )  =  -37

-37   =   -37

Therefore the pair of the equations 3x-2y=22 and 2x+9y=-37 have a perfect solution at ( 4,-5 ).

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