The "2 equations, 2 unknowns" method, also known as the substitution method, is used to solve a system of two equations with two unknown variables. It is commonly used in algebra and is particularly useful in solving word problems involving two unknown quantities.
The method involves substituting one variable from one equation into the other equation, which allows us to solve for the remaining variable. This value is then substituted back into the first equation to find the value of the first variable. This process is repeated until both variables have been solved for.
Yes, this method can be used for linear equations, which are equations in the form of y = mx + b. It can also be used for systems of equations that involve quadratic or exponential equations, although it may be more complex and require additional steps.
If the equations are not in the same form, they can be rearranged to make them compatible. For example, if one equation is in the form of y = mx + b and the other is in the form of ax + by = c, the first equation can be rewritten as ax + by = d, where d is some constant. This allows for easy substitution and solving of the system.
Yes, this method can only be used to solve systems of two equations with two unknown variables. It cannot be applied to systems with more than two equations or unknowns. Additionally, it may not work for equations that do not have a unique solution, such as parallel lines or inconsistent equations.