How to solve a system of equations algebraically?

To solve a system of equations algebraically, the goal is to find the values of the variables that satisfy all the equations simultaneously. One common method is to use substitution or elimination. With substitution, solve one equation for one variable and then substitute that expression into the other equation. With elimination, add or subtract the equations to eliminate one variable and solve for the other. Repeat this process until you find values that satisfy all equations in the system. This method allows for an algebraic solution that can be verified and applied to similar problems.

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