The solution of the given system graphed is
Option (d) is correct.
Further explanation:
Given:
The options are as follows,
(a). ![\left( { 1,1} \right)](https://tex.z-dn.net/?f=%5Cleft%28%20%7B%201%2C1%7D%20%5Cright%29)
(b). ![\left( {1,-1} \right)](https://tex.z-dn.net/?f=%5Cleft%28%20%7B1%2C-1%7D%20%5Cright%29)
(c). ![\left( { -1,1} \right)](https://tex.z-dn.net/?f=%5Cleft%28%20%7B%20-1%2C1%7D%20%5Cright%29)
(d). ![\left( {- 1,- 1} \right)](https://tex.z-dn.net/?f=%5Cleft%28%20%7B-%201%2C-%201%7D%20%5Cright%29)
Explanation:
The coordinates in quadrant 1 can be expressed as ![\left( {x,y} \right).](https://tex.z-dn.net/?f=%5Cleft%28%20%7Bx%2Cy%7D%20%5Cright%29.)
The coordinates in quadrant 2 can be expressed as ![\left( {- x,y} \right).](https://tex.z-dn.net/?f=%5Cleft%28%20%7B-%20x%2Cy%7D%20%5Cright%29.)
The coordinates in quadrant 1 can be expressed as ![\left( {- x,- y} \right).](https://tex.z-dn.net/?f=%5Cleft%28%20%7B-%20x%2C-%20y%7D%20%5Cright%29.)
The coordinates in quadrant 1 can be expressed as ![\left( {x,- y} \right).](https://tex.z-dn.net/?f=%5Cleft%28%20%7Bx%2C-%20y%7D%20%5Cright%29.)
From the graph it has been observed that the line intersects each other in the third quadrant.
The lines intersects each other at ![\left( { - 1, - 1} \right).](https://tex.z-dn.net/?f=%5Cleft%28%20%7B%20-%201%2C%20-%201%7D%20%5Cright%29.)
Therefore, the solution of the equations is ![\left( { - 1, - 1} \right).](https://tex.z-dn.net/?f=%5Cleft%28%20%7B%20-%201%2C%20-%201%7D%20%5Cright%29.)
The solution of the given system graphed is
Option (d) is correct.
Learn more:
- Learn more about inverse of the function brainly.com/question/1632445.
- Learn more about equation of circle brainly.com/question/1506955.
- Learn more about range and domain of the function brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Linear equation
Keywords: system of equations, numbers, slope, slope intercept, equation, y-intercept, graph, representation, origin.