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System of linear equation in one unknown?
A system of linear equations that has one unknown is a set of equations that all depend on the same variable. An example is y = 1 + 3x and y = 4 + 7x.
Is the two points form equation the same as linear equation?
The equations are equivalent.
Is this statement true or falseA system of linear equations is a set of two or more equations with the same variables, and the graph of each equation is a line?
true
How can you tell that an equation has the same solution as the original equation?
If the two equations are linear transformations of one another they have the same solution.
What is the condition for no solution of linear equation?
A linear equation system has no solution when the equations represent parallel lines that never intersect. This occurs when the coefficients of the variables are proportional, but the constant terms are not, indicating that the lines have the same slope but different y-intercepts. Consequently, the system is inconsistent, as there are no values that satisfy all equations simultaneously.
Is this statement true or false A system of linear equations is a set of two or more equations with the same variables and the graph of each equation is a line?
The statement "A system of linear equations is a set of two or more equations with the same variables and the graph of each equation is a line" is true.
What is the definition of Simultaneous Linear Equations?
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
How are linear inequalities and linear equations the same?
They are not. An inequality cannot, by definition, be the same as an equation.
System of linear equation in one unknown?
A system of linear equations that has one unknown is a set of equations that all depend on the same variable. An example is y = 1 + 3x and y = 4 + 7x.
Is the two points form equation the same as linear equation?
The equations are equivalent.
Is linear function the same as linear equations?
No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.
Is this statement true or falseA system of linear equations is a set of two or more equations with the same variables, and the graph of each equation is a line?
true
What are two or more linear equations using the same variables called?
A system of linear equations.
What is a group of linear equations that use the same variables?
a system of equations
How can you tell that an equation has the same solution as the original equation?
If the two equations are linear transformations of one another they have the same solution.
Why Two dependent simultaneous linear equations have infinite solutions?
Two dependent linear equations are effectively the same equation - with their coefficients scaled up or down.
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.
