parallelogram ABCD is shown with diagnols, line AC and DB intersecting at point E. If AE = 4x - 3 and EC = 3x - 1, what is the length of line AC?

10

Step-by-step explanation:

So because AC is intersected at the middle, or the midpoint, being E, you can say that both sides of AC; AE and EC, are equal to each other. You can make 4x-3=3x-1 and combine like terms to get X on one side by itself. First, you want to subtract 3x from both sides to move the x from left side and only have it on the right. You should x-3=-1. Then, you want to remove the -3 from the left side and bring it to the right to have x by itself. To cancel the -3 on the left side you have to add 3 on both sides. You should have x=2. Now that you have x, you can plug it into both AE and EC, then add them together. You should have 5 for AE and 5 for EC, and adding them up makes 10. Hope I could help :)