To estimate the equation to the system of linear equations based on the graph, we can first find the intersection point of the two lines represented by the equations y=2x+3 and y=1/2x+6.
Setting the two equations equal to each other:
2x + 3 = (1/2)x + 6
2x - (1/2)x = 6 - 3
(3/2)x = 3
x = 3 / (3/2)
x = 2
Substitute x=2 into either equation to find y:
y = 2*2 + 3 = 4 + 3 = 7
Therefore, the estimated equation to the system of linear equations is y = 2x + 3. This equation closely approximates the intersection point of the two lines on the graph, which is estimated to be (2,7).
estimate the equation to the system of these linear equations based on the graph y=2x+3 and y=1/2x+6
(-2,7)
(2,-7)
(2,7)
(7,2
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