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Where are solutions to a system seen on the graph?
The intersection of the individual graphs. In the simplest case, the graph for each equation consists of a line (or some curve); the intersection is the points where the lines or curves meet.
What are equations with the same solution?
Equations with the same solution are called dependent equations, which are equations that represent the same line; therefore every point on the line of a dependent equation represents a solution. Since there is an infinite number of points on a line, there is an infinite number of simultaneous solutions. For example, 2x + y = 8 4x + 2y = 16 These equations are dependent. Since they represent the same line, all points that satisfy either of the equations are solutions of the system. A system of linear equations is consistent if there is only one solution for the system. A system of linear equations is inconsistent if it does not have any solutions.
What is the midpoint equation?
Midpoint equation also called midpoint formula is the formula to identify the middle point of the two end points. The formula for midpoint is ( {X2 + X1}/2 , {Y2 + Y1}/2 ).
What is the equation of the line that contains the points -3 2 and 5 -5?
If you mean points of (-3, 2) and (5, -5) then the equation works out as 8y = -7x-5
Plotted data points representing acceleration in a distance-time graph form a?
instantaneus
What is the set of all points representing solutions?
The solution set is the set of all points representing solutions.
How are the graph of an equation and the set of all solutions of an equation related?
The coordinates of every point on the graph, and no other points, are solutions of the equation.
What is the place where 2 curves meet?
The points of intersection. The coordinates of such points will be the solutions to the simultaneous equations representing the curves.
How many solutions does an equation have when you isolate the variable and it equals constant?
As many solutions as there are points in the domain.
What information does the graph of a function provide with respect to the algebraic equation?
The coordinates of the points on the curve represent solutions of the equation.
What is 2x-3y equals -2?
This is an equation of a line. There are an infinite number of solutions which are all points on the line. It is a linear equation.
What are the zeros of a parabola?
They are the x-values (if any) of the points at which the y-value of the equation representing a parabola is 0. These are the points at which the parabola crosses the x-axis.
How do you identify 2 solutions to a linear equation?
A linear equation is that of a straight line. Any one of the infinitely many points on the line will be solutions. If the equation is in terms of the variables x and y, just pick any two values of x, solve for y and the results will be the coordinates of two solutions.
How many solutions does an equation have?
Equations can have many solutions. The equation of a straight line, for example, defines all points on the line. Even a simple equation such as x+y=5 can have a variety of solutions (x=1 when y=4, x=2 when y=3 and so on)
What is the function of a mathematical root?
The roots of a function are the points at which the value of the function is is zero. Also known as the "solutions" (i.e., the solutions to the equation, function = 0).
What is a set of all points represetning solutions called?
The Range
Why are linear equation and linear inequalities not solved in the same manner?
Although there are similarities, the solutions to a linear equation comprise all points on one line: a one-dimensional object. The solutions to a linear inequality comprise all points on one side [or the other] of a line: a two-dimensional object.
