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Select the correct answer.
The sum of two numbers, x and y, is 12. The difference of x and two times yis 6. What are the values of x and y?
OA X= 8, y=4
OB.
x= 10. y= 2
Ocx= 18, y= -6
OD. x= 20. y=-8

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meredith48034

Answer:

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bayosanuade

Answer: x= 10. y= 2

Step-by-step explanation:

From the first statement :

[tex]x + y = 12[/tex]

And from the second statement :

[tex]x - 2y = 6[/tex]

combining the two equations we have :

[tex]x + y = 12[/tex] .......................... equation 1

[tex]x - 2y = 6[/tex] .......................... equation 2

solving the system of simultaneous linear equation by substitution method , from equation 1 , make [tex]x[/tex] the subject of the formula , that is

[tex]x = 12 - y[/tex] ........................... equation 3

substitute  [tex]x = 12 - y[/tex] into equation 2 , then we have

[tex]12 - y - 2y = 6[/tex]

[tex]12 - 3y = 6[/tex]

[tex]12 - 6 = 3y[/tex]

[tex]6 = 3y[/tex]

Therefore : [tex]y = 2[/tex]

substitute [tex]y = 2[/tex] into equation 3 to find the value of x , that is

[tex]x = 12 - y[/tex]

[tex]x = 12 - 2[/tex]

[tex]x = 10[/tex]

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