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Linear equations with one unknown
The main application of linear equations is solving problems in which an unknown variable, usually (but not always) x, is dependent on a known constant.
We solve linear equations by isolating the unknown variable on one side of the equation and simplifying the rest of the equation. When simplifying, anything that is done to one side of the equation must also be done to the other.
An equation of:
in which and are the constants and is the unknown variable, is a typical linear equation with one unknown. To solve for in this example, we would first isolate it by subtracting from both sides of the equation. We would then divide both sides of the equation by , resulting in an answer of:
We solve linear equations by isolating the unknown variable on one side of the equation and simplifying the rest of the equation. When simplifying, anything that is done to one side of the equation must also be done to the other.
An equation of:
in which and are the constants and is the unknown variable, is a typical linear equation with one unknown. To solve for in this example, we would first isolate it by subtracting from both sides of the equation. We would then divide both sides of the equation by , resulting in an answer of: