Estimate the solution to the system of these linear equations based on (y=-5x+7),(y=-2x+10)
To estimate the solution to the system of linear equations y = -5x + 7 and y = -2x + 10, we can graph the two equations and find the point where they intersect. This point represents the solution to the system of equations.
By comparing the equations, we can see that both have the form y = mx + b, where m is the slope and b is the y-intercept.
For the equation y = -5x + 7, the slope is -5 and the y-intercept is 7. This means that the line will have a steep negative slope and intersect the y-axis at 7.
For the equation y = -2x + 10, the slope is -2 and the y-intercept is 10. This means that the line will have a slightly less steep negative slope and intersect the y-axis at 10.
Plotting these lines on a graph, we can see that they intersect at the point (3, -8).
Therefore, the estimated solution to the system of equations is (x, y) = (3, -8).