1. 4x + 8y = 12....divide by 4 x + 2y = 3 2y = -x + 3 y = -1/2x + 3/2...slope is -1/2, y int is 3/2
x + 2y = -3 2y = -x - 3 y = -1/2x - 3/2...slope is -1/2 and y int is -3/2
when the slopes are the same, and the y int are different, then the lines are parallel and never intersect...so they have no solution and are inconsistent ================= 2. y = 2x - 1...slope is 2 and y int is -1 y = -2x + 5 ...slope is -2 and y int is 5 when the slopes are different and the y int are different, then there is 1 solution making it independent ================= 3. 4x - 12y = 8...divide by 4 x - 3y = 2 same as other equation meaning the equations are the same line...meaning they have infinite solutions making them dependent
The main reason why it will not meet its goal is because if you do the math, 215 x 48 does not equal 12000, it equals 10320 which is just 1680 shelters low. Therefore, they will not meet their goal.
