Answer:
The correct ordered pair is (7,1)
Step-by-step explanation:
The given system has equations:
[tex]2x - 6y = 8....(1)[/tex]
[tex]5x- 4y = 31....(2)[/tex]
We make x the subject in the first equation to get:
[tex]x = 4 + 3y...(3)[/tex]
Put equation 3 into equation 2 to get:
[tex]5(4 + 3y) - 4y = 31[/tex]
Expand:
[tex]20 + 15y - 4y = 31[/tex]
[tex]15y - 4y = 31 - 20[/tex]
[tex]11y = 11[/tex]
[tex]y = 1[/tex]
Put y=1 into equation 3 and solve for x.
[tex]x = 4 + 3( 1) = 7[/tex]
The correct ordered pair is (7,1)
