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

Question

y = -x + 6
y = 3x - 2
(_)

Answer 1

The solution appears to be approximately (2, 4) based on the intersection point of the two lines in the graph.

Answer 2

Determine the number of solutions to this system of linear equations:
2x + y = 6
4x + 2y = 8
A. 1
B. infinite
C. 0
D. 2

Answer 3

The two equations are equivalent because the second equation is just the first equation multiplied by 2 on both sides. Therefore, the system of equations represents the same line, and there are infinite solutions.

So, the answer is:
B. infinite