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Solve the following system of equations by substitution and select the correct answer below:

2x − 4y = 24
4x − 12y = 36


x = 18, y = 3

x = 18, y = −3

x = −18, y = 3

x = −18, y = −3

Respuesta :

liulianlian2000
x=(24+4y)/2

4(24+4y)/2-12y=36
48+8y-12y=36
4y=12
y=3

2x-4x3=24
2x=36
x=18

Correct answer: A
JeanaShupp

Answer: x = 18, y = 3

Step-by-step explanation:

Given system of liner equation is :-

[tex]2x-4y=24.....(1)\\4x-12y=36..........(2)[/tex]

From (1), we get

[tex]2x=24+4y\\\Rightarrow x=12+2y[/tex].........(3)

Substitute the value of x in equation (2), we get

[tex]4(12+2y)-12y=36\\\Rightarrow\ 48+8y-12y=36\\\Rightarrow-4y=36-48\\\Rightarrow\ -4y=-12\\\Rightarrow\ y=3[/tex]

Now, substitute the value of y in (3), we get

[tex]x=12+2(3)=12+6=18[/tex]

x = 18, y = 3

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