Respuesta :

Answer:

The values of x and y to the given equations are x=-1 and [tex]y=\frac{10}{3}[/tex]

The solution is (-1,[tex]\frac{10}{3}[/tex])

Step-by-step explanation:

Given equations are [tex]x+3y=9\hfill (1)[/tex]

and [tex]3x-3y=-13\hfill (2)[/tex]

to solve the given equations by elimination method :

Adding the given two equations (1) and (2) we get

[tex]x+3y=9[/tex]

[tex]3x-3y=-13[/tex]

_______________

4x=-4

[tex]x=-\frac{4}{4}[/tex]

Therefore x=-1

Now substitute the value x=-1 in equation(1) we get

(-1)+3y=9

3y=9+1

[tex]y=\frac{10}{3}[/tex]

Therefore the values of x and y to the given equations are x=-1 and [tex]y=\frac{10}{3}[/tex]

The solution is (-1,[tex]\frac{10}{3}[/tex])