You must isolate the variable, for example:
If 3x + 5 = 14
you first subtract five from each side
3x + 5 = 14
- 5 - 5
which results in
3x = 9
you then divide both sides by 3
3x = 9
--- ---
3 3
so you are left with:
x = 3
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To solve for two unknown variables (x and y) you require two independent equations,
This can happen in different ways: a) More variables than equations. For instance, a single equation with two variables (such as x + y = 15), two equations with three variables, two equations with four variables, etc. b) To of the equations describe the same line, plane, or hyper-plane - this, in turn, will result in that you "really" have less equations than it seems. For example: y = 2x + 3 2y = 4x + 6 The second equation is simply the first equation multiplied by 2.
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You solve equations with fractions the same way you solve other equations. You perform various arithmetic operations on both sides of the equals sign until you get the result you want.
One linear equation in two variables cannot be solved. You can only express one of the variables in terms of the other.