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Answer:
A solution to the system is (–1, –2).
One of the equations is y = x –1.
One of the equations is 3x + y = –5.
Step-by-step explanation:
A solution to the system is (–1, –2).
One of the equations is y = x –1.
One of the equations is 3x + y = –5.
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
According to the question,
1. The system contains infinitely many solutions.
This stands wrong because according to the graph, there exists only one solution- where the lines intersect.
This would only be correct if the lines never intersect.
2. A solution to the system exists (-1, -2).
This exists true because this stands as the only point where the lines intersect.
3. A solution to the system exists (0, -1).
This is correct because the y-intercept for the red line stands at -1 and the slope of the equation is 1.
4. One of the equations exists 3x+y = -5.
If you put this into slope-intercept form, you will discover that the equation exists y =-3x -5.
This stands correct because the y-intercept of this stands -5 and the slope of this stands -3.
To know more about system of equations refer to :
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