Equations can be classified according to the highest power of the variable. Since the highest power of the variable in a linear equation is one, it is also called a first-order equation.
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.
You cannot work a simultaneous equation. You require a system of equations. How you solve them depends on their nature: two or more linear equations are relatively easy to solve by eliminating variables - one at a time and then substituting these values in the earlier equations. For systems of equations containing non-linear equations it is simpler to substitute for variable expression for one of the variables at the start and working towards the other variable(s).
y=3x+2 y-4x=9 These are examples of linear equations which is a first degree algebraic expression with one, two or more variables equated to a constant. So x=2 is a linear equation as is y=1 but x2 =1 is not since the variable, x , has degree 2.
A system of linear equations that has at least one solution is called consistent.
NO
Linear Equations are equations with variable with power 1 for eg: 5x + 7 = 0 Simultaneous Equations are two equations with more than one variable so that solving them simultaneously
You select the linear combination of the equations in such a way that at each stage you eliminate one variable.You select the linear combination of the equations in such a way that at each stage you eliminate one variable.You select the linear combination of the equations in such a way that at each stage you eliminate one variable.You select the linear combination of the equations in such a way that at each stage you eliminate one variable.
Equations can be classified according to the highest power of the variable. Since the highest power of the variable in a linear equation is one, it is also called a first-order equation.
First degree equations ad inequalities in one variable are known as linear equations or linear inequalities. The one variable part means they have only one dimension. For example x=3 is the point 3 on the number line. If we write x>3 then it is all points on the number line greater than but not equal to 3.
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.
It is called solving by elimination.
Because linear equations are based on algebra equal to each other whereas literal equations are based on solving for one variable.
You cannot work a simultaneous equation. You require a system of equations. How you solve them depends on their nature: two or more linear equations are relatively easy to solve by eliminating variables - one at a time and then substituting these values in the earlier equations. For systems of equations containing non-linear equations it is simpler to substitute for variable expression for one of the variables at the start and working towards the other variable(s).
y=3x+2 y-4x=9 These are examples of linear equations which is a first degree algebraic expression with one, two or more variables equated to a constant. So x=2 is a linear equation as is y=1 but x2 =1 is not since the variable, x , has degree 2.
Linear equations with one variable will either be horizontal or vertical lines. y=2 is a horizontal line going through (0,2)
One of the most common ways to represent linear equations is to use constants. You can also represent linear equations by drawing a graph.