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Can you solve a variable with an equation?
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.
What reduces an equation that has two variables to an equation that has one variable. It is then possible to find the solution for this variable.?
substitution
Does an equation have one true solution?
-- If the equation has only one variable (like 'x' or 'y'), and the only power of the variable anywhere in the equation is '1', then the equation has one solution. -- If the variable appears raised to powers higher than '1', then there are as many solutions as the highest power of the variable. -- If the equation has two or more variables, then there are an infinite number of solutions.
How do you use different techniques to solve linear equations?
1. Elimination: Select two equations and a variable to eliminate. Multiply each equation by the coefficient if that variable in the other equation. If the signs of the coefficient for that variable in the resulting equations are the same then subtract one new equation from the other. If they have opposite signs then add them. You will now have an equation without that variable. Repeat will other pairs and you will end up with one fewer equation and one fewer variable. Repeat this process: after each round you will have one fewer equation and one fewer variable. Keep going until you are left with one equation in one variable. Solve that. Then work backwards solving for the other variables.2. Substitution: Select a equation and a variable. Make that variable the subject of the equation. The right hand side of this equation is an expression for that variable. Substitute this expression for the variable is each of the other equations. Again, one fewer equation in one fewer variable. Continue until you are left with one equation in one variable. Solve that. Then work backwards solving for the other variables.3. Matrix inversion: If A is the nxn matrix of coefficients, X is the nx1 [column] matrix of variables and B is the nx1 matrix of the equation constants, then X = A^-1*B where A^-1 is the inverse of matrix A.
What is the difference between an ordinary differential equation and a partial differential equation?
ordinary differential equation is obtained only one independent variable and partial differential equation is obtained more than one variable.
An expression that contains at least one variable?
Literal Equation
An expression that contains at least one variable is called an algebraic expression?
it is a one-step equation
What is is an equation with more than one variable called?
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.
What is an equation that is not true for any value of a variable?
linear equation in one variable
Can you solve a variable with an equation?
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.
What reduces an equation that has two variables to an equation that has one variable. It is then possible to find the solution for this variable.?
substitution
What is it called when you have to get the variable alone on one side of an equation?
It is to make the variable the subject of the equation.
Why do you isolate the variable on one side the the equation when solving a linear 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.
What is the independent variable in the equation a3.14rsquared?
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.
What reduces an equation that has two variables to an equation that has one variable It is the possible to find the solution for this variable?
substitution
Reduces an equation that has two variables to an equation that has one variable It is then possible to find the solution for this variable?
Substitution
What reduces an equation that has two variables to an equation that has one variable It is then possible to find the solution for this variable?
substitution
