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Solve the following system by the substitution method. Check the solution.
3x+6y=4x
x=8-2y
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.
The system has a single solution. The solution set is ( , )
Type an ordered pair.)

B.
There are infinitely many solutions. The solution set is (3x+8y=4x)(x,y)
(Type your answer in standard form.)

C.
The solution set is the empty set.

Respuesta :

qumpelka
[tex] \left \{ {{3x + 6y = 4x} \atop {x = 8- 2y}} \right. [/tex]

[tex] \left \{ {{3x- 4x + 6y = 0} \atop {x = 8 - 2y}} \right. [/tex]

[tex] \left \{ {{-x + 6y = 0} \atop {x=8 - 2y}} \right. [/tex]

[tex] \left \{ {{-(8-2y) + 6y} \atop {x=8 - 2y}} \right. [/tex]

[tex] \left \{ {{-8+2y +6y = 0} \atop {x=8 - 2y}} \right. [/tex]

8y = 8
y = 1

x = 8-2y
x = 8-2*1
x = 8-2
x = 6



A.
The system has a single solution. The solution set is (6, 1)

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