Estimate the solution to the system of these linear equations based on the graph.

Based on the graph, it appears that the blue line and the red line intersect at a point near (6, 9). Therefore, the estimated solution to the system of equations is (6, 9).

Estimate the solution to the system of these linear equations based on the graph.

y=2x+3
y=1/2x+6
There are 2 lines on the graph, a red one and a blue one
On the graph it shows a blue line starting at the bottom left quarter (-4, -5) crossing over -2 and (positive) 3 and ending at (15, 6)
The red line starts in the top left corner at (-10, 1) and crossing over 6 and ending at (11, 10)
(at the end of the red line it says "y=1/2x+6" and at the end of the blue one it says "y=2x+3")

Based on the graph, it appears that the blue line and the red line intersect at a point near (4, 11). Therefore, the estimated solution to the system of equations is (4, 11).

Determine the number of solutions to this system of linear equations:

2x+y=6
4x+2y=8

To determine the number of solutions to this system of linear equations, we can simplify and analyze the equations.

First, let's simplify the second equation by dividing both sides by 2:
2x + y = 6
2x + y = 4

By comparing the two equations, we can see that the two equations are equivalent. Therefore, they represent the same line in the coordinate plane.

Since these two equations represent the same line, there are infinitely many solutions to this system of linear equations.

A - Infinite

B - 1
C - 2
D = 0

A - Infinite.