now we have to solve this system by any method
x = 3/4y + 2
4x - 3y = 8
now we had to choose from
(1,-9)
(-1,-7)
(2,-10)
(0,9)
The equations are dependent
The system is inconsistent
I am thinking it is that the equations are dependent.. Am I right?? If I am wrong, please tell me what I did wrong. Thanks
2007-04-14 16:22:34 · 6 answers · asked by cougarhw 1 in Science & Mathematics ➔ Mathematics
Yes, they are essentially the same linear equation if you multiply the first one by 4, and that means you have the same line on top of itself, therefore infinitely many solutions and the system is said to be dependent.
2007-04-14 16:28:54 · answer #1 · answered by Kathleen K 7 · 1⤊ 0⤋
If you solve the second equation for x, you get x = (3/4)y + 2. This is just the first equation, so you won't have a unique solution. So yes, the equations are dependent.
2007-04-14 23:31:52 · answer #2 · answered by Anonymous · 0⤊ 0⤋
You are correct. The 2nd equation is just the first eqn, multiplied by 4 and rearranged.
2007-04-14 23:30:31 · answer #3 · answered by jenh42002 7 · 0⤊ 0⤋
Uh.. they're the same equation, only in different forms.
So I do believe that you are right.
2007-04-14 23:33:20 · answer #4 · answered by iml 1 · 0⤊ 0⤋
you are 100% correct
2007-04-14 23:31:55 · answer #5 · answered by Don,The 5 · 0⤊ 0⤋
ure right. u can even try the substitution method.
2007-04-14 23:32:09 · answer #6 · answered by f4bulous1985 2 · 0⤊ 0⤋