Question

Without graphing, is the system independent, dependent, inconsistent? {12x=3y=12 y=-4x+5

Answer 1

Answer: 4x + y = 4 . . . . . . divide the original equation by 3

... 4x + y = 5 . . . . . . . the system is inconsistent

These two equations describe parallel lines, so will not have a point of intersection. There are no values of x and y that can satisfy both equations

Explanation:

Answer 2

okay so you out them into the form of y=mx+b. since equation 2 is already like that you need to do it to equation 1. which is y=-4x+4. graph both equations. if it has a solution (1 point where the two lines meet) it is consistantly and independent. if they are parallel lines and the solution is 0 the system is inconsistent and the lines are dependent. if it's the same line they are consistent and dependent. the line is not the same since the y intercept is different. the slope is the same though which tells us its parallel. so the system has a solution of 0 and is inconsistent and the lines are independent.