Review the graphs of a system of these two linear equations in two variables y = 4x - 10 and u = - 2x + 8 Find the solution of the system (1 point) The solution of the system of equations is (sqrt(3, 2))

Answer 1

To find the solution of the system of equations y = 4x - 10 and u = -2x + 8, we need to find the point at which the two lines intersect.

First, let's graph the two equations:

y = 4x - 10 can be rewritten as y = 4x - 10

u = -2x + 8 can be rewritten as u = -2x + 8

Now, we will look at the graphs of these two equations:

The graph of y = 4x - 10 is a straight line with a y-intercept of -10 and a slope of 4. It will look like this:
(image of a line sloping upwards from left to right and crossing the y-axis at -10)

The graph of u = -2x + 8 is a straight line with a y-intercept of 8 and a slope of -2. It will look like this:
(image of a line sloping downwards from left to right and crossing the y-axis at 8)

The point of intersection of these two lines is the solution of the system of equations. By looking at the graphs, we can see that they intersect at the point (2, 0). Therefore, the solution of the system of equations is (2, 0).