Y equals negative 2X +3

Y equals 5X +10
Estimate the solution to the system of these linear equations based on the graph
y equals 5X +10
Y equals -2+3

1 answer

To estimate the solution to the system of linear equations Y = -2X + 3 and Y = 5X + 10 based on the graph, we can calculate the point where the two lines intersect.

By setting the two equations equal to each other, we get:
-2X + 3 = 5X + 10

Rearranging terms, we get:
-2X - 5X = 10 - 3
-7X = 7
X = -1

Now, substitute X back into either equation to find Y:
Y = -2(-1) + 3
Y = 2 + 3
Y = 5

Therefore, the estimated solution to the system of linear equations based on the graph is X = -1 and Y = 5, which corresponds to the point of intersection between the two lines.
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