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x + 3y = 7 x - 3y = 1 Solve the system of equations. A) x = 4, y = 1 B) x = 1, y = 4 C) x = - 2 3 , y = 3 D) x = 3, y = - 2 3

Respuesta :

Answer:

Option A.

Step-by-step explanation:

The given system of equations is

[tex]x+3y=7[/tex]         ... (1)

[tex]x-3y=1[/tex]        ...(2)

We need to solve the system of equations.

On adding equation (1) and (2), we get

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

[tex]2x=8[/tex]

Divide both sides by 2.

[tex]x=4[/tex]

Substitute x=4 in equation (1).

[tex](4)+3y=7[/tex]

[tex]3y=7-4[/tex]

[tex]3y=3[/tex]

Divide both sides by 3.

[tex]y=1[/tex]

Since x=4 and y=1, therefore the correct option is A.

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