Answer:
Option D.
Step-by-step explanation:
We need to find the solution to the system graphed below.
If a system of equation have 2 linear equation then the intersection point of both lines lines is the solution of the system of equations.
In the given graph two straight lines intersect each other at (-1,-1).
Point of intersection = (-1,-1)
So, by using the given graph we can conclude that the solution of given system of equations is (-1,-1).
Therefore, the correct option is D.
The solution of the given system graphed is [tex]\boxed{\left( { - 1, - 1} \right)}.[/tex]Option (d) is correct.
Further explanation:
Given:
The options are as follows,
(a). [tex]\left( { 1,1} \right)[/tex]
(b). [tex]\left( {1,-1} \right)[/tex]
(c). [tex]\left( { -1,1} \right)[/tex]
(d). [tex]\left( {- 1,- 1} \right)[/tex]
Explanation:
The coordinates in quadrant 1 can be expressed as [tex]\left( {x,y} \right).[/tex]
The coordinates in quadrant 2 can be expressed as [tex]\left( {- x,y} \right).[/tex]
The coordinates in quadrant 1 can be expressed as [tex]\left( {- x,- y} \right).[/tex]
The coordinates in quadrant 1 can be expressed as [tex]\left( {x,- y} \right).[/tex]
From the graph it has been observed that the line intersects each other in the third quadrant.
The lines intersects each other at [tex]\left( { - 1, - 1} \right).[/tex]
Therefore, the solution of the equations is [tex]\left( { - 1, - 1} \right).[/tex]
The solution of the given system graphed is [tex]\boxed{\left( { - 1, - 1} \right)}.[/tex] Option (d) is correct.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Linear equation
Keywords: system of equations, numbers, slope, slope intercept, equation, y-intercept, graph, representation, origin.
