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How doI solve system of equations by substitution?
Assuming the simplest case of two equations in two variable: solve one of the equations for one of the variables. Substitute the value found for the variable in all places in which the variable appears in the second equation. Solve the resulting equation. This will give you the value of one of the variables. Finally, replace this value in one of the original equations, and solve, to find the other variable.
What does it mean to solve a system of linear equations?
Find values for each of the unknown variables (or at least as many as is possible for the system) that satisfy all the equations.
What is usually the first step in solving a system of equation by substitution?
The first step is to solve one of the equations for one of the variables. This is then substituted into the other equation or equations.
What does it mean to solve a system?
Finding a set of value for the set of variables so that, when these values are substituted for the corresponding variables, all the equations in the system are true statements.
How do you solve an equation with two different variables on one side?
You decide to solve for one of the variables, for example, for "y". What exactly you do would depend on how the variables are related. For example, if you have:x + y = 5 and you want to solve for "y", you subtract "x" on both sides. If you have a product, such as: xy = 10 you divide both sides by "x".
