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What is linear equation in one variable?
Linear equations with one variable will either be horizontal or vertical lines. y=2 is a horizontal line going through (0,2)
What is the term Linear in maths?
Resembling, represented by, or consisting of a line or lines. Examples in maths: linear equation: A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable. Typical linear equation:
Does every system of a linear equation have a solution?
No, if two lines are parallel they will not have a solution.
What is the vertex of the equation y equals 2x-1?
3
What is the relation between straight lines and linear equations?
The graph, in the Cartesian plane, of a linear equation is a straight line. Conversely, a straight line in a Cartesian plane can be represented algebraically as a linear equation. They are the algebraic or geometric equivalents of the same thing.
How do you know if numbers show linear relationship?
A linear equation looks like any other equation. It is made up of two expressions set equal to each other. A linear equation is special because: It has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make the linear equation true and plot those pairs on a coordinate grid, all of the points for any one equation lie on the same line. Linear equations graph as straight 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.
When two linear equation no solution then lines are?
Parallel but non-coincident or, in more than 2 dimensions, they are skew.
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.
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.
What types of lines would be the result of an inconsistent system of equation?
If you refer to linear equations, graphed as straight lines, two inconsistent equations would result in two parallel lines.
What are linear?
Straight lines are linear.
