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Solving Systems of Linear Equations using Substitution

Solving Systems of Linear Equations using Substitution 1.4 - Solution

arrow_back Return to Solving Systems of Linear Equations using Substitution

We want to solve the system using the substitution method. When solving a system of equations using substitution, there are three steps.

  1. Isolate a variable in one of the equations.
  2. Substitute the expression for that variable into the other equation and solve.
  3. Substitute this solution into one of the equations and solve for the value of the other variable.
Here, is already isolated in Equation (I). Let's continue by substituting for in Equation (II).
Now, to find the value of we need to substitute into either one of the equations in the given system. We will keep the value as a fraction to get an exact answer. Let's use Equation (I).
The solution to this system of equations is the point