Unit+Two+Journal

System 1 -- This graph has one solution and aren't related at all. System 2 -- This graph has no solutions. The lines have the same slope, but different y-intercepts so they are parallel and will never meet. System 3 -- This graph has infinate solutions. The lines are exactly the same in every way. ~Systems 2 and 3 are related because both systems have the same slope~ **2.2:** The three ways to solve a system of linear equations are combination/elimination, substitution, and graphing. One would use combination/elimination when both equations are in slope-intercept form and when one needs to multiply the entire equation to eliminate a variable to solve for the other. One would use substitution when one equation is in slope-intercept form and the other is in standard form. You would substitute the slope-intercept equation for the corresponding variable in the standard form equation. And finally, one could use graphing when both equations are in slope-intercept form and ready to be graphed. Slope-intercept form makes it easy to graph because the equation supplies you with the y-intercept and the slope.
 * 2.1:**

**2.3:** 1. y=3/2x+1050 red function. 2. red function y-int. -- 1050, blue function y-int. -- 1000. In context, these y-intercepts are the first deposit that each person made. 3. red function slope -- 3/2, blue function slope -- 2/1. In context, this is the rate at which the amount of money in the account rises. 4. Before (2, 1200), the red function is collecting more money, but after both lines cross the coordinate (2, 1200) the blue function is collecting more money than the red. 5. In opening an account for college, I would use the blue function, y=2/1x+1000. I would use this one because even though you start off collecting less money, you end up collecting more money after the second year of having the account. 6. Yes, I would use the account I mentioned previously for my child's college fund. I would use this because it gives me even more time to accumulate more money at a faster rate than the other option.