Estimate the solution to the system of these linear equations based on the graph y = -5x + 7 and Y = -2x + 10
To estimate the solution to the system of linear equations y = -5x + 7 and y = -2x + 10, we need to find the point of intersection between the two lines.
By setting the equations equal to each other, we can solve for x:
-5x + 7 = -2x + 10
-5x + 2x = 10 - 7
-3x = 3
x = -1
Now that we have found that x = -1, we can substitute this value back into either equation to find the value of y. Let's use y = -5x + 7:
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, or the point of intersection is at (-1, 12).