Estimate the solution to the system of these linear equations based on (y=5x+10),(y=-2x+3)

Answer 1

To estimate the solution to the system of linear equations, we can graph the two equations and see where they intersect.

First, let's graph the equation y = 5x + 10. This is a line with a slope of 5 (meaning it goes up 5 units for every 1 unit it goes to the right) and a y-intercept of 10 (where the line crosses the y-axis).

Next, let's graph the equation y = -2x + 3. This is a line with a slope of -2 (meaning it goes down 2 units for every 1 unit it goes to the right) and a y-intercept of 3.

Now, we can visually see where the two lines intersect on the graph. That point represents the solution to the system of linear equations.

By estimating from the graph, it appears that the two lines intersect at approximately (x, y) ≈ (-1, 5).

Therefore, the estimation for the solution to the system of linear equations is x ≈ -1 and y ≈ 5.