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Look at the system of equations below.
x- 2y = 4
y=4-x
Trevor stated that (4,0) is the solution to the system of equations. Joey stated that (0, -2) is the solution to the system of equations. Which
conclusion is true?

Sagot :

Answer:

Trevor is right

Step-by-step explanation:

The solution of system of equations are [tex](4,0)[/tex]

Therefore, Trevor conclusion is true.

System of equations:

Given system of equations;

                 [tex]x- 2y = 4\\\\y=4-x[/tex]

Substitute value of y from equation (2) in equation (1).

           [tex]x-2(4-x)=4\\\\x-8+2x=4\\\\3x=12\\\\\\x=12/3=4[/tex]

Substitute value of x in second equation.

 [tex]y=4-x=4-4=0[/tex]

Hence, the solution of system of equations are [tex](4,0)[/tex]

Learn more about the system of equations here:

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