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Use the substitution method to solve the system of equations. Choose the correct ordered pair. 3x – y = 7 2x – 2y = 2
A. (2, 2)
B. (3, -1)
C. (3, 2)
D. (2, -2)

Respuesta :

almuraijibinve
y=2, and x=3 so it is c
isyllus

Answer:

The solution set is (3,2)

C is correct

Step-by-step explanation:

Given: System of equation.

[tex]3x-y=7[/tex]

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

We will solve x and y using substitution method.

[tex]3x-y=7[/tex]

[tex]y=3x-7------------------(1)[/tex]

Substitute into 2x-2y=2

[tex]2x-2(3x-7)=2[/tex]

[tex]2x-6x+14=2[/tex]

[tex]-4x=-12[/tex]

[tex]x=3[/tex]

Put x=3 into eq(1)

[tex]y=3(3)-7[/tex]

[tex]y=2[/tex]

Hence, The solution set is (3,2)