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Which ordered pair satisfies the system of equations below? 3x – y = 8
x + y = 2
Question 1 options: A. (3, −1) B. (2.5, −0.5) C. (2.5, 0.5) D. (5, −3)

Respuesta :

loldummy
the answer would be B. (2.5, -0.5) 

plug the possibilities in and solve. just because it works for one, it doesn't mean that it will work for both.

3 (2.5) - (-0.5) = 7.5 + 0.5 = 8

(2.5) + (-0.5) = 2.5 - 0.5 = 2

i hope i helped. :) 
MrRoyal

An ordered pair is the pair of x and y values

The ordered pair is: (b) (2.5, -0.5)

The equations are given as:

[tex]3x - y = 8[/tex]

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

Make x the subject in [tex]x + y = 2[/tex]

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

Substitute [tex]x = 2 - y[/tex] in [tex]3x - y = 8[/tex]

[tex]3(2 -y) - y = 8[/tex]

[tex]6 -3y - y = 8[/tex]

[tex]6 -4y = 8[/tex]

Collect like terms

[tex]-4y = 8 - 6[/tex]

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

Divide both sides by -4

[tex]y =-0.5[/tex]

Substitute [tex]y =-0.5[/tex] in [tex]x = 2 - y[/tex]

[tex]x = 2--0.5[/tex]

[tex]x = 2.5[/tex]

Hence, the ordered pair is: (2.5, -0.5)

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