5x−9y≥8
7x−4y<10
Is (2,2) a solution of the system?
1 answer:
Answer:
(2,2) is not a solution of the system.
Step-by-step explanation:
Given : Equations
and
.
To find : Is (2,2) a solution of the system?
Solution :
To know that the given point is the solution or not we have to put the values in equation if inequality is true then the point is the solution.
Substitute (2,2) in
,
![5(2)-9(2)\geq 8](https://tex.z-dn.net/?f=5%282%29-9%282%29%5Cgeq%208)
![10-18\geq 8](https://tex.z-dn.net/?f=10-18%5Cgeq%208)
![-8\geq 8](https://tex.z-dn.net/?f=-8%5Cgeq%208)
It is not true.
Substitute (2,2) in
,
![7(2)-4(2)](https://tex.z-dn.net/?f=7%282%29-4%282%29%3C10)
![14-8](https://tex.z-dn.net/?f=14-8%3C10)
![6](https://tex.z-dn.net/?f=6%3C10)
It is true.
So, (2,2) is not a solution of the system.
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