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You cannot solve one linear equation in two variables. You need two equations that are independent.
y = mx + c m = slope = rise/run c = y intercpt
You cant solve it unless it is an equation. To be an equation it must have an equals sign.
Quite simply, the latter is a group of the former.A system of linear equations is several linear equations taken together, each using the same group of unknowns. Usually, such a system provides one linear equation for each unknown (x, y, z, et al) that must be found (more complex systems can exist, though). You can use and manipulate these linear equations as you would a single linear equation to help solve for the unknowns. One way is to reduce all but one of the unknowns so that each can be expressed in terms of the remaining unknown and then solve for the remaining unknown which would in turn give you the others.