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How do you use substitution to solve equations?
You plug in what the variable is equal to for that variable then you will be able to finish the problem
How do you solve x minus y equals 6 and x plus y equals -2?
4
How do you solve simultanious equations?
By eliminating or substituting one of the variables in the two equations in order to find the value of the other variable. When this variable is found then substitute its value into the original equations in order to find the value of the other variable.
What do you do when you have two equations mutiply or divide?
To solve two simultaneous equations - usually two equations with the same two variables each - you can use a variety of techniques. Sometimes you can multiply one of the two equations by a constant, then add the two equations together, to get a resulting equation that has only one variable. Sometimes you can solve one of the equations for one variable, and replace this variable in the other equation. Once again, this should give you one equation with a single variable to be useful.
How do you solve the system of equations when you have 4 equations with 4 unknowns?
There are several ways to do it - depending, in part, on the kind of equations. Sophisticated methods exist specifically for linear equations, among others. However, for a start, you can combine equations (1) and (2), eliminating one variable; the same for equations (2) and (3), and for equations (3) and (4) (eliminating the same variable in every case). That leaves you with 3 equations with 3 variables. Similarly, reduce the 3 equations in 3 variables, to 2 equations in 2 variables (eliminating the same variable in every case). Combine those into a single equation with 1 variable. Example for eliminating a variable: (Eq. 1) 5a + 3b - 3c + 8d = 28 (Eq. 2) 8a - 3b + 8c - 6d = 8 If you just add up the equations, you eliminate variable b. If you want to eliminate variable a, multiply the first equation by 8, and the second by (-5), then add the resulting equations.
