Review the graphs of a system of these two linear equations in two variables y=4x-10 and y=-2x+8 find the solution of the system.
the solution of the system of equations is ??
To find the solution to the system of equations, we need to determine the value of x and y that satisfy both equations simultaneously.
First, let's graph the equations:
Equation 1: y = 4x - 10
This equation represents a line with a slope of 4 and a y-intercept of -10.
Equation 2: y = -2x + 8
This equation represents a line with a slope of -2 and a y-intercept of 8.
Now, let's analyze the graph.
The lines intersect at a point (x, y). This point represents the solution to the system of equations. By inspecting the graph, we can see that the lines intersect at the point (3, -2).
Therefore, the solution to the system of equations is x = 3 and y = -2.