An appropriate description of the Substitution Method would be
Accepted Solution
A:
The substitution method is one of several methods used for solving systems of equations. If, for example, you have a system of two linear equations in x and y, you could solve either equation for x and subst. the resulting expression in y into the other equation. This eliminates x and allows you to find the value of y.
Example: Solve this system of linear equations:
3x + 4y = 7 2x + y = -3
Let's solve the 2nd equation for y: y = -2x - 3. Now substitute -2x -3 for y in the other equation: 3x + 4(-2x-3) = 3 (Note how y disappears!)
Then 3x -8x - 12 = 3; -5x = 15 => x=-3.
Again we substitute: Subst. -3 for x in either of the given equations and solve for y.
Write your solution in the form (x,y).
These are examples of the subst. method and its applications.