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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.
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What are the three types of system of linear equations?
The three types arethe system has a unique solutionthe system has no solutionsthe system has infinitely many solutions.
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.
What is of system of equations?
It is essentially a list of equations that have common unknown variables in all of them. For example, a+b-c=3 4a+b+c=1 a-2b-7c=-2 would be a system of equations. If there are the same number of equations and variables you can usually, but not always, find the solutions. Since there are 3 equations and 3 variables (a, b, and c) in this example one can usually find the value of those three variables.
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
Is y x 5 linear?
No, they are simply three expressions: there is no equation - linear or otherwise.
