ANSWER
(3,1)
EXPLANATION
The given system of equations are
[tex]y + 2 = x...(1)[/tex]
and
[tex]y = 2x - 5...(2)[/tex]
Substitute the first equation into the second equation.
This implies that,
[tex]y = 2(y + 2) - 5[/tex]
Expand using the distributive property,
[tex]y = 2y + 4 - 5[/tex]
Group similar terms,
[tex]y - 2y = 4 - 5[/tex]
[tex] - y = - 1[/tex]
Multiply both sides by -1.
[tex]y = 1[/tex]
Put y=1 into equation (1).
[tex]1 + 2 = x[/tex]
[tex]x = 3[/tex]
The solution is (3,1)
The correct choice is B.
