Answer:
![(-9,-3)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/i49qtyzcibga810e2gtlga3rpx3edmyb97.png)
Explanation:
Given the following system of equations:
![\left \{ {{2x=-78-20y} \atop {-x=-51-20y}} \right.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/o9jpqzu3zzhn73g2fqkejdwjbdngwpnd1p.png)
In order to solve the System of equations, you can use the Substitution method. The steps are:
1. You can solve for "x" from the second equation:
![-x=-51-20y\\\\x=51+20y](https://img.qammunity.org/2021/formulas/mathematics/middle-school/olj2o6z33hj8rwppun29ylfbh7i2pslpzt.png)
2. Substitute the equation obtained into the first original equation:
![2x=-78-20y\\\\2(51+20y)=-78-20y](https://img.qammunity.org/2021/formulas/mathematics/middle-school/cwpecf6w1eqfei0d0z8vba5zrxjj187d12.png)
3. Now you must solve for "y":
![102+40y=-78-20y\\\\40y+20y=-78-102\\\\60y=-180\\\\y=(-180)/(60)\\\\y=-3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/b3jsehkvezbktqphmph96d4pirtkz175m2.png)
4. Substitute the value of "y" into the equation
and evaluate:
![x=51+20(-3)\\\\x=51-60\\\\x=-9](https://img.qammunity.org/2021/formulas/mathematics/middle-school/62gqutf4uk0mgxob6960adeaqfte6slvaj.png)
Then, the solution is:
![(-9,-3)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/i49qtyzcibga810e2gtlga3rpx3edmyb97.png)