You don't use unknown variables to solve an equation. The purpose of solving
an equation is to find the value of the variable so that it's no longer unknown.
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You find, or construct, an equation or set of equations which express the unknown variable in terms of other variables. Then you solve the equation(s), using algebra.You find, or construct, an equation or set of equations which express the unknown variable in terms of other variables. Then you solve the equation(s), using algebra.You find, or construct, an equation or set of equations which express the unknown variable in terms of other variables. Then you solve the equation(s), using algebra.You find, or construct, an equation or set of equations which express the unknown variable in terms of other variables. Then you solve the equation(s), using algebra.
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You first have to get rid of the numbers that don't have variables. then you divide by the variable and solve for it.
You cannot solve one linear equation in two variables. You need two equations that are independent.
Suppose you have n linear equations in n unknown variables. Take any equation and rewrite it to make one of the variables the subject of the equation. That is, express that variable in terms of the other (n-1) variables. For example, x + 2y + 3z + 4w = 7 can be rewritten as x = 7 - 2y - 3z - 4w Then, in the other (n-1) equations, plug in that value for the variable and simplify (collect like terms). You will end up with (n-1) equations in (n-1) unknown variables. Repeat until you have only one equation in 1 variable. That gives you the value of one of the variables. Plug that value into one of the equations from the previous stage. These will be one of two equations in two variables. That will give you a second variable. Continue until you have all the variables. There are simpler methods using matrices but you need to have studied matrices before you can use those methods.