estimate the solution to the system of these linear equations based on the graph y=5x+10 y=-2x+3
3 answers
Based on the graph of the equations y=5x+10 and y=-2x+3, it appears that the two lines intersect at approximately the point (1, 15). Therefore, the estimated solution to the system of linear equations is x = 1 and y = 15.
wrong
I apologize for the mistake. Let's recalculate the solution to the system of linear equations based on the graph y=5x+10 and y=-2x+3.
To find the intersection point of the two lines, we set the two equations equal to each other:
5x + 10 = -2x + 3
This simplifies to:
7x = -7
x = -1
Now, we can substitute this value back into one of the equations (let's use y=5x+10):
y = 5(-1) + 10
y = -5 + 10
y = 5
Therefore, the solution to the system of linear equations is x = -1 and y = 5, or the point (-1, 5).
To find the intersection point of the two lines, we set the two equations equal to each other:
5x + 10 = -2x + 3
This simplifies to:
7x = -7
x = -1
Now, we can substitute this value back into one of the equations (let's use y=5x+10):
y = 5(-1) + 10
y = -5 + 10
y = 5
Therefore, the solution to the system of linear equations is x = -1 and y = 5, or the point (-1, 5).
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