Answer:
.
Explanation:
We have been given a system of equations. We are asked to solve our given system using elimination method.
![-3y=x-5...(1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/44oisqttltv1s21s4yppc2dbm8sdy7avnb.png)
![x+5y=7...(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gr358b67z979iib1qheok5k4b2qfppdh5l.png)
First of all, we will gather all terms of both equations on left side as shown below:
![-x-3y+5=0...(1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/r5damhe13p620vyhyt6dy6iz645exaa1l8.png)
Adding equation (1) and (2), we will get:
![-x+x-3y+5y+5-7=0\rightarrow 2y-2=0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/emfkpwl6nhyxvhfb4gojlgk0j6k48t6dmi.png)
Now, we will add 2 on both sides of our equation as shown below:
![2y-2+2=0+2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/v8ru0ubulbp9wj3naw2314o0r25rlgfcb0.png)
![2y=2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xith104t2v07zyp11y85q6p5fky1ytaif1.png)
![(2y)/(2)=(2)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8stvvzyrpzohykb3ec88ulj9er0zm27oil.png)
![y=1](https://img.qammunity.org/2020/formulas/mathematics/high-school/shmuyul9qjj9r1nqzr15kdsrv22lgw6ocn.png)
Upon substituting
in equation (2), we will get:
![x+5*1=7](https://img.qammunity.org/2020/formulas/mathematics/middle-school/85ruae4pzidn7zlqz0rarefa0wlbawt50p.png)
![x+5=7](https://img.qammunity.org/2020/formulas/mathematics/middle-school/epe3hhla4i02hcawlsgd3kmihtcwlqgwov.png)
![x=7-5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/uch4088w7nermo6tjbcj0xe44booq9thx3.png)
![x=2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rgwu4x0cp6hdykhfamznd7kqdkp0xgsg9s.png)
Therefore, the solution for our given system of equations would be
.