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How do you model your equation on a number line to show your answer?
You model your equation on a number line to using a bar model.
What is the point at which the lines intersect in a system of linear equations?
The coordinates of the point of intersection represents the solution to the linear equations.
Why do some systems of equations have one solution?
If it is a linear system, then it could have either 1 solution, no solutions, or infinite solutions. To understand this, think of two lines (consider a plane which is just 2 dimensional - this represents 2 variables and 2 equations, but the idea can be extended to more dimensions).If the 2 lines intersect at a point, then that point represents a solution. If the lines are parallel, then they never intersect, and there is no solution. If the equations are such that they are just different ways of describing the same line, then they intersect at every point, so there are infinite solutions. If you have more than 2 lines then maybe some of them will intersect, but this is not a solution for the whole system. If all lines intersect at a single point, then that is the single solution for the whole system.If you have equations that describe something other than a straight line, then it's possible that they may intersect in more than one point.
Does every line have a slope intercept equation?
No. Vertical lines and horizontal lines have undefined and 0 slopes. Undefined could be any number, so the answer is No. Good luck with your Apex :)
What points are on the line given by the equation y equals 5x?
Any point on the line is a solution to the equation, and any solution to the equation is a point on the line. Ie any point where the y coordinate is 5 times the x coordinate will be on the line; for example the points (0, 0), (1, 5), (2, 10), (-1, -5), (-2, -10) all lines on the line y = 5x.
Does every system of a linear equation have a solution?
No, if two lines are parallel they will not have a solution.
The solution of a system of equation is?
the solution to a system is where the two lines intersect upon a graph.
If there is no solution to a system of equations it means?
extraneous solution. or the lines do not intersect. There is no common point (solution) for the system of equation.
Can a system of linear equation have more than one solutions?
No. A linear equation represents a straight line and the solution to a set of linear equations is where the lines intersect; two straight lines can only intersect at most at a single point - two straight lines may be parallel in which case they will not intersect and there will be no solution. With more than two linear equations, it may be that they do not all intersect at the same point, in which case there is no solution that satisfies all the equations together, but different solutions may exist for different subsets of the lines.
Why does the intersection of the two lines represent the solution of the linear equation system?
The solution to a system is an ordered pair (x,y) where the two lines intersect.
How many solution does a system of equation with lines of same slope and y-intercept have?
Two lines with the same slope and y-intercept look like one single line. The "system" of equations consists of the same equation twice. The lines coincide at every point, which means there are an infinite number of solutions.
When solving systems of linear equation's when would you get no solution as an answer?
You get no solution if the lines representing the graphs of both equations have the same slope, i.e. they're parallel. "No solution" is NOT an answer.
How many solutions is it possible for a system of linear equations to have?
one solution; the lines that represent the equations intersect an infinite number of solution; the lines coincide, or no solution; the lines are parallel
How do you model your equation on a number line to show your answer?
You model your equation on a number line to using a bar model.
How do you write equations for ertical and horizontal lines?
A vertical line has the equation [ x = a number ]. A horizontal line has the equation [ y = a number ].
What must be true about the lines of a system of equation that has not one solution but infinitely many solutions?
There must be fewer independent equation than there are variables. An equation in not independent if it is a linear combination of the others.
The number of lines of force in a magnetic field depends on the blank of the magnet?
strength, the number of lines represents how strong the magnet is, this is also sometimes shown by the thickness of the lines.
