Solve each of the following systems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.
X + 5y = 10, -2x – 10y = -20.
2007-01-24 15:06:28 · 4 answers · asked by mysteryperson 1 in Science & Mathematics ➔ Mathematics
there are infinite solutions
they are the same problem if you look carefully
2007-01-24 15:10:33 · answer #1 · answered by xjgege 2 · 0⤊ 0⤋
x + 5y = 10 --> x = 10 - 5y
-2x - 10y = -20 --> 10y = 20 - 2x --> y = 10 - .2x
x = 10 - 5(10 - .2x)
= 10 - 50 + x
= -40 + x
x = -40 + x --> 0 = -40
inconsistent
2007-01-24 23:14:08 · answer #2 · answered by bigbill 3 · 0⤊ 0⤋
x + 5y = 10
-2x - 10y = -20
multiply the top one by 2
2x+10y=20
-2x-10y=-20
add the top and bottom
0=0, which is always true, so they are dependant (i think thats what that means, but dont take my word for it). thats how you add them though.
2007-01-24 23:14:01 · answer #3 · answered by nemahknatut88 2 · 0⤊ 0⤋
These are two different forms of the same straight line.
2007-01-24 23:12:44 · answer #4 · answered by anonimous 6 · 0⤊ 0⤋