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 ??

1 answer

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.