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Two or more straight lines meeting at one point.

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13y ago

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If a system of linear equations has no solution then the graph of the two equationsmust be what kind of line?

parallel


which graph shows the solution to the system of linear inequalities y>2x+1 y?

3


It is impossible for a system of two linear equations to have exactly one solution. True or False?

False, think of each linear equation as the graph of the line. Then the unique solution (one solution) would be the intersection of the two lines.


Describe the graph of a linear equation?

It is a straight line.


How do you know which region of the graph of a system of linear inequalities contains the solutions?

If the lines intersect, then the intersection point is the solution of the system. If the lines coincide, then there are infinite number of the solutions for the system. If the lines are parallel, there is no solution for the system.


Graph the solution set of the linear inequality 5x-2y4?

graph the inequality 5x+2y<4


How can graphs be used to estimate the solution for a system of linear equations?

Graphs can be used in the following way to estimate the solution of a system of liner equations. After you graph however many equations you have, the point of intersection will be your solution. However, reading the exact solution on a graph may be tricky, so that's why other methods (substitution and elimination) are preferred.


Which graph represents the solution to the following system of linear inequalities?

To determine which graph represents the solution to a system of linear inequalities, you need to identify the boundaries defined by each inequality and their respective regions. Each inequality will create a half-plane, and the feasible solution set is where these half-planes overlap. The graph should show solid lines for inequalities that include equalities (≤ or ≥) and dashed lines for strict inequalities (< or >). Look for the region that satisfies all inequalities simultaneously.


When you graph a system of linear equations why does the intersection of two lines repesent the solution of the system?

The intersection of two lines in a graph of a system of linear equations represents the solution because it indicates the point where both equations are true simultaneously. This point has coordinates that satisfy both equations, meaning that the values of the variables at this point fulfill the conditions set by each equation. Consequently, the intersection reflects a unique solution for the system, representing the values of the variables that solve both equations. If the lines do not intersect, it indicates that there is no common solution.


When you graph a system of linear equations why does the intersection of the two lines represent the solution of the system?

The intersection of two lines in a graph of a system of linear equations represents the solution because it is the point where both equations are satisfied simultaneously. At this point, the x and y coordinates meet the conditions set by both equations, meaning that the values of x and y make both equations true. Hence, the intersection point is the unique solution to the system, assuming the lines are not parallel or coincident.


On a graph the solution of a system of a linear equations will be represented by what?

The set of points the graphed equations have in common. This is usually a single point but the lines can be coincident in which case the solution is a line or they can be parallel in which case there are no solutions to represent.


The solution of a system of equation is?

the solution to a system is where the two lines intersect upon a graph.