Question

What equation is solved by the graphed systems of equations?

Answer 1

http://www.freemathhelp.com/forum/threads/83534-What-equation-is-solved-by-the-graphed-systems-of-equations

Answer 2

does that help?

Answer 3

To solve a system of equations graphically, graph both equations and see where they intersect. The intersection point is the solution.

First, solve each equation for "y =".



4x - 6y = 12


slope =
y-intercept = -2


2x + 2y = 6


slope = -1
y-intercept = 3








Graph the lines.
The slope intercept method of graphing was used in this example.

The point of intersection of the two lines, (3,0), is the solution to the system of equations.

This means that (3,0), when substituted into either equation, will make them both true. See the check.






Check: Since the two lines cross at (3,0), the solution is x = 3 and y = 0. Checking these value shows that this answer is correct. Plug these values into the ORIGINAL equations and get a true result.

4x - 6y = 12
4(3) - 6(0) = 12
12 - 0 = 12
12 = 12 (check) 2x + 2y = 6
2(3) + 2(0) = 6
6 + 0 = 6
6 = 6 (check)

Answer 4

thanks that helped a lot :)