The first equation in System 2 is the difference of the equations in System 1. The second equation in System 2 is the first equation in System 1
Step-by-step explanation:
The given systems of equations are:
System 1:
Lx + My = N
Ax +By = C
System 2:
(L-A)x + (M - B)y = N-C
Lx + My =N
Let us find the sum and difference of equations in System 1: (As it is metioned in the given options. So,
Difference:
[tex]Lx + My-(Ax +By) = N-C\\Lx+My-Ax-By=N-C\\(L-A)x+(M-B)y = N-C[/tex]
Addition:
[tex]Lx + My+(Ax +By) = N+C\\Lx+My+Ax+By=N+C\\(L+A)x+(M+B)y = N+C[/tex]
Let us see the options one by one
The first equation in System 2 is the sum of the equations in System 1. The second equation in System 2 is the first equation in System 1.
This option is not true as Equation 1 in system 2 is not the sum of equations in System 1
The first equation in System 1 is the difference of the equations in System 2. The second equation in System 1 is the first equation in System 2.
Also false. As the first equation in system one is in simplest form. It is not written as sum or difference of any equations
The first equation in System 2 is the difference of the equations in System 1. The second equation in System 2 is the first equation in System 1
Yes. The first equation in system 2 is the difference of equations in system 1 (Difference already found in the start). And it can also be seen that the 2nd equation in system 2 is the first equation in system 1
Hence,
The correct answer is:
The first equation in System 2 is the difference of the equations in System 1. The second equation in System 2 is the first equation in System 1
Keywords: Equations, Variables
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Answer:
B
Step-by-step explanation:
And dude all you had to say was B instead of all that
