Estimate the solution to the system of these linear equations based on the graph.
y=5x+10
y=-2x+3
To estimate the solution to the system of linear equations based on the graph, we can determine the coordinates of the point where the two lines intersect.
By comparing the given equations, we can see that they are in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
For the equation y = 5x + 10, the slope is 5 and the y-intercept is 10.
For the equation y = -2x + 3, the slope is -2 and the y-intercept is 3.
To find the point of intersection, we need to set the two equations equal to each other:
5x + 10 = -2x + 3
Combining like terms, we get:
7x = -7
Dividing both sides by 7, we find:
x = -1
Substituting this value of x back into one of the original equations, we can solve for y:
y = 5(-1) + 10
y = -5 + 10
y = 5
Therefore, the estimated solution to the system of linear equations is (-1, 5).