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when the x and y values of both equations are equal, because the point of intersection will only have one x value and one y value
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What is a linear system?
A linear system is an equation to find the intersection of two or more lines. The equations are usually expressed with two variables, x and y. I don't know yet, but maybe geometry might have three variables, including z. Basically it's where two lines intersect and the most common ways of solving it are through graphing, substitution, and/or elimination.Presume you mean "linear".These are systems whose parameters vary directly or proportionally. Plotting functions results in straight lines.
What are two equations that intersect at -1 5 and how did you find this answer?
There is an infinite number of answers. Here is how to work it out The equation for any line is y = mx +c where m is the slope of the line and c, the point where the line crosses the y axis. Now put the point (-1, 5) into the equation: ==> 5 = -m +c ==> c = 5 +m Then just substitute different values for m (the slope) e.g. if the slope is 2, then c=7 so the line is y = 2x +7 e.g. if the slope is -6, then c = -1 so the line is y = -6x -1 These two lines intersect at (-1, 5) You can choose any slopes you like (including fractions) and you will get a pair of lines that intersect at (-1,5)
How do you know when an equation has infinitely many solutions How do you know when an equation has no solution?
You know that an equation has no solution when...Ex. 2>5 is falseTo show its false, put and O with a / through it----------To find it false, in terms of graphing, it is when you have parallel lines (Not crossing at any point if, in a perfect world, the lines went on forever).So for an exampley=2-3x6x+2y=7 (y=-3x+7/2 in Y=mx+b form)With this equation the lines do not pass through each other, and once more in a perfect world, if they kept going on the lines would never cross.
Yx-1 y-x 3 find the solution for the system?
y = x - 1 y - x = 3 y = x - 1 y = x + 3 Since both equations represent straight lines that have equal slopes, 1, then the lines are parallel to each other. That is that the lines do not intersect, and the system of the equations does not have a solution.
What are the solutions do these equations have x plus 3y equals 2 and 2x plus 6y equals -3?
None. If you rearrange each equation into slope intercept form ( y = mx + b), see below, you'll find that both equations have the same slope. Therefore they are parallel which also means would not intersect. Since the lines wouldn't intersect there is no solution to the system of equations.x + 3y = 23y = -x + 2y = (-1/3)x + 2/32x + 6y = -36y = -2x - 3y = (-1/3)x - (1/2)
What are the steps to solve a Linear Equation?
1.Put into y=mx=b 2.graph 3. find ordered pair where the lines intersect
How do you use longitude and latitude to find a location?
You find the lines of latitude and longitude and find the place that they intersect, which is your location.
How do you find where these lines intersect?
you look to see if they are crossing or not then u read the letters/numbers and then when you read it then you got the answer
Is it possible to find two lines on a plane which are neither parallel nor intersecting?
No. Lines are infinite, so if they are not parallel, they have to intersect at some point on the plane.
How do you use Rydberg's equation?
Rydberg's equation is used to find wave length of spectral lines.
How do you solve systems of equations by graphing?
-- Graph each equation individually. -- Examine the graph to find points where the individual graphs intersect. -- The points where the individual graphs intersect are the solutions of the system of equations.
How can you find the coordinates of two lines mathematically given the equation of both?
Subtract the equation of one line from the equation of the other
How you can obtain the solution to a system of equations by graphing?
In the same coordinate space, i.e. on the same set of axes: -- Graph the first equation. -- Graph the second equation. -- Graph the third equation. . . -- Rinse and repeat for each equation in the system. -- Visually examine the graphs to find the points (2-dimension graph) or lines (3-dimension graph) where all of the individual graphs intersect. Since those points or lines lie on the graph of each individual graph, they are the solution to the entire system of equations.
How do you find a slope of a equation?
Two parallel lines have equal slopes.
How do you find the intersection of 2 lines in space?
By solving simultaneous linear equations. (If you don't know how to do this, it's a bit more complicated than can be detailed here, but basically you cast the equations for the two lines into the form ax + by = z and then see if there are any valid solutions to the equation a1x + b1y = a2x + b2y. If so, that's your answer. If not, the lines are skew and do not intersect.)
How do you find the slope of a parallel equation?
Two parallel lines have equal slopes.
How do you find if two line segments intersect?
You must solve the equations of the lines simultaneously. Represent each line in an equation of the form y=mx +b (where m represents the slope of the line, that is "rise over run"), then make substitutions using the info you have to solve for a pair of coordinates they share.
