Review the graphs of a system of two linear equations in two variables: x−5y=7 and 3x−2y=−4 . Find the solution to both equations.
The solution to the system of equations can be found by graphing the two equations on the same set of axes.
First, solve for y in the first equation:
x - 5y = 7
-5y = -x + 7
y = (1/5)x - 7/5
Next, solve for y in the second equation:
3x - 2y = -4
-2y = -3x - 4
y = (3/2)x + 2
Now, graph the two equations on the same set of axes:
The intersection point of the two lines is the solution to the system of equations. By visually inspecting the graph, we can see that the intersection point is at approximately (3, 1).
Therefore, the solution to the system of equations is x = 3 and y = 1.