Answer:
[tex](8,1)[/tex].
Step-by-step explanation:
We have been given a system of equations and we are asked to solve our given system by elimination method.
[tex]x+y=9...(1)[/tex]
[tex]x-y=7...(2)[/tex]
Adding equation 1 and 2 we will get,
[tex]x+x+y-y=9+7[/tex]
[tex]2x=16[/tex]
Upon dividing both sides of our equation by 2 we will get,
[tex]\frac{2x}{2}=\frac{16}{2}[/tex]
[tex]x=8[/tex]
Therefore, the value of x is 8.
To solve for y we will subtract equation (2) from equation (1) as:
[tex]x-x+y--y=9-7[/tex]
[tex]y+y=2[/tex]
[tex]2y=2[/tex]
[tex]\frac{2y}{2}=\frac{2}{2}[/tex]
[tex]y=1[/tex]
Therefore, the ordered pair [tex](8,1)[/tex] is the solution for our given system of equations.
