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).
Simultaneous equations have the same solutions
Simultaneous equations have the same solutions.
2
Infinite simultaneous solutions. (The two equations represent the same line) OR If your in nova net the answer should be ( Many )
It has more than one solutions.
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.
Simultaneous equations have the same solutions.
The answers to equations are their solutions
If a system of equations is inconsistent, there are no solutions.
Equations do have solutions, sometimes they may be a little difficult to figure out.
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.
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.
Simultaneous equations have the same solutions
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.
As there is no system of equations shown, there are zero solutions.
Simultaneous equations have the same 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.