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Why Do you Study linear equations?
we study linear equation in other to know more about quadratic equation
What are the three types of systems of linear equations and their characteristics?
Independence:The equations of a linear system are independent if none of the equations can be derived algebraically from the others. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set.Consistency:The equations of a linear system are consistent if they possess a common solution, and inconsistent otherwise. When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as the statement that 0 = 1.Homogeneous:If the linear equations in a given system have a value of zero for all of their constant terms, the system is homogeneous.If one or more of the system's constant terms aren't zero, then the system is nonhomogeneous.
Example equations of linear equations?
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.
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 forms of linear equations?
The two main forms are the slope (or gradient) intercept form: y = mx + c or the general form ax + by + c = 0 The first form has key information about the equation readily available but the second is more easily generalised to 3 or more dimensions.
