Respuesta :
Answer:
[tex]x=5[/tex] and [tex]y=2[/tex].
Step-by-step explanation:
We have been given a system of equations. We are asked to solve our given system.
[tex]x+y=7...(1)[/tex]
[tex]2x+3y=16...(2)[/tex]
From equation (1), we will get:
[tex]x=7-y[/tex]
Upon substituting this value in equation (2), we will get:
[tex]2(7-y)+3y=16[/tex]
[tex]14-2y+3y=16[/tex]
[tex]14+y=16[/tex]
[tex]14-14+y=16-14[/tex]
[tex]y=2[/tex]
Now, we will substitute [tex]y=2[/tex] in equation (1).
[tex]x+2=7[/tex]
[tex]x+2-2=7-2[/tex]
[tex]x=5[/tex]
Therefore, the point [tex](5,2)[/tex] is solution for our given equation.
Answer:
The answer is (5,2)
Step-by-step explanation:
I took the test and got it correct.