The answer depends on the equation!
In a nonlinear equation, each variable must only have one solution.
A linear equation is when each term in the algebraic equation is either a constant or the product has a single variable and a constant.
True
-- You select an operation. -- You apply the same operation to each side of the equation. -- You keep doing both steps until the equation says (the variable) = (the value of the variable)
The answer depends on the equation!
In a nonlinear equation, each variable must only have one solution.
A number, multiplied by a variable is part of an Algebraic equation. A person can find out the value of the variable if they divide each side by the number that is next to the variable. For example, if the equation is 5x = 60, divide each side by 5 and the answer is x = 12.
When you have a negative variable in an equation that you are trying to solve for, you multiply each side of the equation by -1. If it is an inequality such as <, you would flip the sign to > and vice versa.
A linear equation is when each term in the algebraic equation is either a constant or the product has a single variable and a constant.
True
I have the feeling that you were looking to find a value for each variable in this equation. Unfortunately you can only solve for each variable in terms of the other variables in this equation.
-- You select an operation. -- You apply the same operation to each side of the equation. -- You keep doing both steps until the equation says (the variable) = (the value of the variable)
The number and variables when next to each other in an equation are called a term. The variable or letters are coefficients.4x + 3x = 28.4x and 3x are terms and the variable "x" is the coefficient.
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.
15
Yes. A variable expression is also known as an algebraic expression. An equation consists of variable expressions on each side of an equality.