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Solving Systems of Linear Equations Graphically

Solving Systems of Linear Equations Graphically 1.9 - Solution

arrow_back Return to Solving Systems of Linear Equations Graphically
a
Let's isolate on one of the sides by using inverse operations.
is the solution to the equation.
b
The two sides of the equation can be interpreted as their own equations. By setting each side equal to we can form a system of equations.

Since both of the equations are given in a slope-intercept form, we can graph them in a coordinate plane.

The solution to the system is where the two lines intersect.

Therefore, the solution is

c

In part A, the solution is only determined by the value of because there is no other variable involved. In part B, we have two variables which both have to satisfy the two equations in order to be a solution. This is the difference, that the solution to a system of linear equations is always given as a point.