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1. Solve one equation for one of the variable. Replace the variable for the equivalent expression, in the remaining equations.2. Add one equation (possibly multiplied by some factor) to another equation, in such a way that one of the variables get eliminated.
For the specific case of linear equations, there are several additional methods, for example using determinants, or matrices.
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To solve a three variable system of equations you can use a combination of the elimination and substitution methods?
True. To solve a three variable system of equations you can use a combination of the elimination and substitution methods.
5x plus 3y plus z equals -29 solve this system of equation?
To solve an equation with three unknowns, x, y and z, you require 3 independent equations.
Solve the equation 4x plus 8y plus 12z equals 44?
Solving equations in three unknowns (x, y and z) requires three independent equations. Since you have only one equation there is no solution. The equation can be simplified (slightly) by dividing through by 4 to give: x + 2y + 3z = 11
What are three ways of solving a system of linear equations?
I'll assume the simplified case of two equations, with two variables each. Some of the methods can be extended to more complicated cases.Substitution: Solve for one variable in one equation, replace it in the other equation.Setting two quantities equal: For example, if 5x + 3y = 10, and 5x - 2y = 0, solve each equation for "5x", and set the two equal, with the result: 10 - 3y = 2y.Addition/subtraction: Add or subtract one equation (or a multiple of one equation) to the other. In the previous example, if you subtract the second equation from the first, you get an equation that doesn't contain x.In any of these cases, after solving for a single variable, replace in one of the original equations to get the other variable.
What is the answer to 6x 2y 5z-4x 2z-5y?
The "answer" would be a set of three numbers ... the numbers that 'x', 'y', and 'z' must be in order to make the statements true. In order to find them, you need three separate equations, because you have three separate unknowns. Without three separate equations, the only thing you can find is some equations that describe one unknown in terms of the others, but you can't find unique values for them. Even with the missing operators in the question, we're pretty sure that there are most likely not three "equals" signs there, and that you haven't stated three separate equations.
