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Which ordered pair (a, b) is a solution to the given system of linear equations?
A (1, 7)
B (3, 1)
C (11, –23)
D (23, –11)

Which ordered pair a b is a solution to the given system of linear equations A 1 7 B 3 1 C 11 23 D 23 11 class=

Respuesta :

Nyx922
11,-23 is the answer I plugged in the two number as a and b and I got 33+(-23)=10 and -44+ (46)= 2

Answer:

C. (11,-23)

Step-by-step explanation:

The given equations are

[tex]3a+b=10[/tex].....................equation 1

[tex]-4a-2b=2[/tex]...................equation 2

Multiply first equation by 2

[tex]6a+2b=20[/tex]


Now add this new equation to 2nd equation


[tex]6a-4a +2b-2b = 20+2[/tex]

[tex]2a = 22[/tex]

Divide both sides by 2

[tex]a=11[/tex]

We got a=11 , plug this value in anyone equation

3(11)+b=10[tex][/tex]

[tex]33+b=10[/tex]

Subtract 33 from both sides

[tex]b=-23[/tex]


So solution is (a,b) = ( 11,-23)


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