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Graphical solutions can only be approximate. Looking at a graph you might think that lines cross at (2, 5) but it might be (1.99, 5.01).

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14y ago

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How many solutions does the Nonlinear system of equations have?

The number of solutions to a nonlinear system of equations can vary widely depending on the specific equations involved. Such systems can have no solutions, a unique solution, or multiple solutions. The behavior is influenced by the nature of the equations, their intersections, and the dimensions of the variables involved. To determine the exact number of solutions, one typically needs to analyze the equations using methods such as graphical analysis, algebraic manipulation, or numerical techniques.


What is equations that have the same solutions?

Simultaneous equations have the same solutions.


How do you answer equations?

The answers to equations are their solutions


If a system of equations is inconsitient how many solutions will it have?

If a system of equations is inconsistent, there are no solutions.


Do equations have solutions?

Equations do have solutions, sometimes they may be a little difficult to figure out.


Which best describes a system of equations that has infinitely many solutions?

A system of equations has infinitely many solutions when the equations represent the same line or plane in a coordinate space, meaning they are dependent and consistent. This typically occurs when one equation can be derived from the other through multiplication or addition of constants. In graphical terms, the lines or planes coincide, leading to an infinite number of intersection points.


What is consistent system?

A consistent system of equations is one in which there is at least one set of values for the variables that satisfies all the equations simultaneously. In graphical terms, this means that the lines or planes represented by the equations intersect at one or more points. A consistent system can be classified as either independent (with a unique solution) or dependent (with infinitely many solutions). In contrast, an inconsistent system has no solutions, meaning the equations represent parallel lines or planes that do not intersect.


What are equations that have the same answer?

Simultaneous equations have the same solutions


How do solutions differ for an equation and an inequality both algebraically and graphically?

Algebraically, solutions to an equation yield specific values that satisfy the equality, while solutions to an inequality provide a range of values that satisfy the condition (e.g., greater than or less than). Graphically, an equation is represented by a distinct curve or line where points satisfy the equality, whereas an inequality is represented by a shaded region that indicates all points satisfying the inequality, often including a boundary line that can be either solid (for ≤ or ≥) or dashed (for < or >). This distinction highlights the difference in the nature of solutions: precise for equations and broad for inequalities.


How many solutions does the system of linear equations shown have?

As there is no system of equations shown, there are zero solutions.


What is an equation that have the same solutions?

Simultaneous equations have the same solutions.


When you solve a system of equations algebraically how can you tell whether the system has zero one or an infinite number of solutions?

Compare the equations. If it has the same slope it most likely will be parallel which means it has 0 solutions. However, if you plug in points and they match up exactly it would have an infinite amount of solutions. The only way it would intersect more than once or 2 then would be if it was a parabola which would have a x^2 value typically. If it has 1 solution it means it would intersect once.