The correct options are:
The ordered pair (5, −6) is a solution to the first equation because it makes the first equation true.
The ordered pair (5, −6) is not a solution to the system because it makes at least one of the equations false.
Step-by-step explanation:
Given equations are:
[tex]x+y=-1\\3x-y=21[/tex]
first of all we have to put the point in both equations to check if the point holds true on both equations
So,
Putting the point in the first equation
[tex]x+y=-1\\5-6=-1\\-1=-1[/tex]
Putting the point in second equation
[tex]3x-y=21\\3(5)-6=21\\15-6=21\\9\neq 21[/tex]
So,
The correct options are:
The ordered pair (5, −6) is a solution to the first equation because it makes the first equation true.
The ordered pair (5, −6) is not a solution to the system because it makes at least one of the equations false.
Keywords: Linear Equations, Solution
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Answer: The ordered pair (5,-6) is a solution to the first equation because it makes the first equation true.
The ordered pair (5,-6) is a solution to the second equation because it makes the second equation true.
Step-by-step explanation:
The given system of equations are :
[tex]x+y=-1 ...(i)\\3x-y=21..(ii)[/tex]
In ordered pair (5, −6) , x -coordinate =5 and y-coordinate = -6
Put x= 5 and y=-6 in (i) , we get
[tex]5+(-6)=-1\\\\\Rightarrow\ -1=-1[/tex] , which is true.
That means (5,-6) is a solution to the first equation because it makes the first equation true.
Put x= 5 and y=-6 in (ii) , we get
[tex]3(5)-(-6)=21\\\\\Rightarrow\ 15+6=21[/tex]
, which is true.
That means (5,-6) is a solution to the second equation because it makes the second equation true.
So , the correct statements are :
