Final answer:
To solve the system of equations, set them equal to each other and solve for x. Then substitute the value of x back into one of the equations to find the y-value. The approximate solution is (-1.1, 3.05)
Step-by-step explanation:
To find the approximate solution to the system
y=0.5x+3.5 and y=-2/3x+1/3 on the graph, we need to find the point where the two lines intersect. We can do this by setting the two equations equal to each other and solving for x:
0.5x+3.5=-2/3x+1/3
After solving the equation, we find that x is approximately -1.1. Substituting this value back into one of the equations, we can find the corresponding y-value:
y=0.5(-1.1)+3.5
Therefore, the approximate solution to the system is (-1.1, 3.05) on the graph.