-- You select an operation.
-- You apply the same operation to each side of the equation.
-- You keep doing both steps until the equation says
(the variable) = (the value of the variable)
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algebra involves equations with numbers a variables and your goal is to solve for the variable
coordinate geometry or algebra is used to solve equations
Solve for variables using equations graphs and tables. There is also a lot of substituting
No, not really. Calculus uses algebra to solve equations, but calculus is a branch of mathematics all its own.
You would solve them in exactly the same way as you would solve linear equations with real coefficients. Whether you use substitution or elimination for pairs of equations, or matrix algebra for systems of equations depends on your requirements. But the methods remain the same.