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.