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])