When solving a system of equations using substitution, there are three steps.
Isolate a variable in one of the equations.
Substitute the expression for that variable into the other equation and solve.
Substitute this solution into one of the equations and solve for the value of the other variable.
Here we want to solve the following system.
Observing the given equations, it looks like it will be simplest to isolate x in Equation (I).
Next we will substitute -8+3y for x in Equation (II) and solve the resulting equation for y.
The solution, or point of intersection, to this system of equations is the point (1,3).
Here we have been asked to solve the following system of equations.
When solving a system of equations using substitution we first want to isolate one variable in one of the equations. Let's isolate y in Equation (II).
Next we will substitute -5+2x for y in Equation (I). After that we will solve the resulting equation for x.