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8 votes
Which is the approximate solution to the system y=

0.5x+ 3.5 and y= -2/3x + 1/3
shown on the graph?

User Toch
by
8.0k points

1 Answer

8 votes

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.

User Nery Jr
by
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