Answer:
The values of x and y to the given equations are x=-1 and
![y=(10)/(3)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mg04ipjwjah5w9suq4un2rbm7e2tw0uny7.png)
The solution is (-1,
)
Explanation:
Given equations are
![x+3y=9\hfill (1)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/fyq9p9dddj8pwnjqy244vtgvh5xea38vhz.png)
and
![3x-3y=-13\hfill (2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/wrg2pzlqzwuidlz1qj16a9mj65tedjhq26.png)
to solve the given equations by elimination method :
Adding the given two equations (1) and (2) we get
![x+3y=9](https://img.qammunity.org/2021/formulas/mathematics/middle-school/2fapjjh54409d3u3b3gnsjwibvkfc6e4x6.png)
![3x-3y=-13](https://img.qammunity.org/2021/formulas/mathematics/middle-school/rrb2xv4txnvbysjh8pr7e97rvj63brjphk.png)
_______________
4x=-4
![x=-(4)/(4)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/rr4joafffwpaa2n6z4ix9ksl7e0m9dqmfv.png)
Therefore x=-1
Now substitute the value x=-1 in equation(1) we get
(-1)+3y=9
3y=9+1
![y=(10)/(3)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mg04ipjwjah5w9suq4un2rbm7e2tw0uny7.png)
Therefore the values of x and y to the given equations are x=-1 and
![y=(10)/(3)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mg04ipjwjah5w9suq4un2rbm7e2tw0uny7.png)
The solution is (-1,
)