Question

Estimate the solution to the system of these on the equations based on the graph Y equals negative 5X +7 and Y equals -2x+10

Answer 1

To estimate the solution to the system of equations based on the given graph, we need to find the point of intersection.

The first equation is y = -5x + 7, and the second equation is y = -2x + 10.

To find the point of intersection, we need to set these two equations equal to each other:

-5x + 7 = -2x + 10

Simplifying the equation:

-5x + 2x = 10 - 7

-3x = 3

x = -1

Substituting the value of x into either equation to find y:

y = -5(-1) + 7 = 5 + 7 = 12

Therefore, the estimated solution to the system of equations is (x, y) = (-1, 12).