estimate the solution to the system of these linear equations based on the graph y=-5x+7 y=-2x+10
3 answers
Based on the graph of the two equations y = -5x + 7 and y = -2x + 10, it appears that the two lines intersect at approximately the point (1, 2). Therefore, an estimate of the solution to the system of linear equations is x = 1 and y = 2.
wrong
My apologies for the error. Let's correct the estimation.
From the equations y = -5x + 7 and y = -2x + 10, we can set them equal to each other to find the point of intersection:
-5x + 7 = -2x + 10
Solving for x:
-5x + 2x = 10 - 7
-3x = 3
x = -1
Plugging x back into one of the equations to find y:
y = -5(-1) + 7
y = 5 + 7
y = 12
Therefore, the estimated solution to the system of linear equations is x = -1 and y = 12.
From the equations y = -5x + 7 and y = -2x + 10, we can set them equal to each other to find the point of intersection:
-5x + 7 = -2x + 10
Solving for x:
-5x + 2x = 10 - 7
-3x = 3
x = -1
Plugging x back into one of the equations to find y:
y = -5(-1) + 7
y = 5 + 7
y = 12
Therefore, the estimated solution to the system of linear equations is x = -1 and y = 12.
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