Q: First degree equation in one variable?

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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.

An equation of the second degree, meaning it contains at least one term that is squared.

The general idea is to solve one of the equations for one variable - in terms of the other variable or variables. Then you can substitute the entire expression into another equation or other equations; as a result, if it works you should end up having one less equation, with one less variable.

When an equation has a variable in it (only one), then there are only certainvalues the variable can have that will make the equation a true statement."Solving" the equation means finding those values for the variable.

substitution

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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.

Simultaneous equation* * * * *No, simultaneous equations are two or more equations that have all to be true at the same time (simultaneously) for the solution.An equation with more than one variable is a multivariate equaion.Area = 0.5*Length*Height or a = 0.5*l*h for the area of a triangle has more than one variables, but it is certainly not simultaneous.An equation with a variable is called a single variable equation. An equation that has more than one variable is called as a multi-variable equation. A polynomial equation has one variable in different powers: a common example is quadratic equations.

An equation of the second degree, meaning it contains at least one term that is squared.

An example of an equation with a degree of 2 is (y = 3x^2 + 2x + 1). This is a quadratic equation because the highest power of (x) is 2.

linear equation in one variable

The general idea is to solve one of the equations for one variable - in terms of the other variable or variables. Then you can substitute the entire expression into another equation or other equations; as a result, if it works you should end up having one less equation, with one less variable.

When an equation has a variable in it (only one), then there are only certainvalues the variable can have that will make the equation a true statement."Solving" the equation means finding those values for the variable.

substitution

It is to make the variable the subject of the equation.

Isolating a single variable in terms of the rest of the equation provides a solution to that variable. That is, if you know the equation that equals the variable, then you can figure out its value.

Select one equation from a system of linear equations. Select a second equation. Cross-multiply the equations by the coefficient of one of the variables and subtract one equation from the other. The resulting equation will have one fewer variable. Select another "second" equation and repeat the process for the same variable until you have gone through all the remaining equations. At the end of the process you will have one fewer equation in one fewer variable. That variable will have been eliminated from the system of equations. Repeat the whole process again with another variable, and then another until you are left with one equation in one variable. That, then, is the value of that variable. Substitute this value in one of the equations from the previous stage to find the value of a last variable to be eliminated. Work backwards to the first variable. Done! Unless: when you are down to one equation it is in more than one variable. In this case your system of equations does not have a unique solution. If there are n variables in your last equation then n-1 are free to take any value. These do not have to be from those in the last equation. or when you are down to one variable you have more than one equation. If the equations are equivalent (eg 2x = 5 and -4x = -10), you are OK. Otherwise your system of equations has no solution.

rRestate the equation as A = 3.14r2.The independent variable is the one you are given - in this case, 'r'.The dependent variable is the one you have to work out (it depends on the other variable). In this case, A.