Answer:
C) (-8,-64)
Explanation:
we have
![7x-y=8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/cvdr94ohf04wkxm4u7ivcsxxaxmqt88ui6.png)
we know that
If a ordered pair satisfy the linear equation, then the ordered pair is a solution of the linear equation
Verify each case
case A) (2,-22)
Substitute the value of x and the value of y in the linear equation and then compare the results
![7(2)-(-22)=8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/111e77e78e1x3d3uguc2id9i6tn12ybkw2.png)
![14+22=8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/36yqv2yezn45zohck0qvr0zapulqs8stpl.png)
----> is not true
therefore
The ordered pair not satisfy the equation
case B) (7,-1)
Substitute the value of x and the value of y in the linear equation and then compare the results
![7(7)-(-1)=8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/sdn1g0av1g9n17g9z4qhw9kf4xzclw5is7.png)
![49+1=8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ya4ht9reosd0gg9ldtxwhf3kut0eswbkof.png)
----> is not true
therefore
The ordered pair not satisfy the equation
case C) (-8,-64)
Substitute the value of x and the value of y in the linear equation and then compare the results
![7(-8)-(-64)=8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ag3xcqf7no66wd1lki7e26o3m0p7ulsjew.png)
![-56+64=8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bzmktd79f3wyjp3uknbffvs29ctxwdzb7z.png)
----> is true
therefore
The ordered pair satisfy the equation
case D) (-6,2/7)
Substitute the value of x and the value of y in the linear equation and then compare the results
![7(-6)-(2/7)=8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/u85ho7a1rp3ztyzk8r6zumg9ojtgbnrit6.png)
-----> is not true
therefore
The ordered pair not satisfy the equation