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Solve each system of equations. Let z be the parameter.?
x + 2y + 3z = 11
2x – y + z = 2
Please explain in detail if you can I am trying to learn how to do these. Thanks...
2 Answers
- 1 decade agoFavorite Answer
1)
x + 2y + 3z = 11 …(a1)
-------------------------x2
2x + 4y + 6z = 22 …(a2)
A1 and A2 are the same equation
2)
2x – y + z = 2 …(b1)
-------------------------x2
4x – 2y + 2z = 4 …(b2)
B1 and B2 are the same equation
3) A1 and B2
x + 2y + 3z = 11
4x – 2y + 2z = 4
-------------------------(+)
5x + 5z = 15 --> x = 3 – z
4) A2 and B1
2x + 4y + 6z = 22
2x – y + z = 2
-------------------------(-)
5y + 5z = 20 --> y = 4 - z
Hope this will help. If there is any other thing i can help, dont hesitate to ask.
Regards,
Marcellus Tanjaya
email: bog3lstyle@yahoo.com.sg
marcellus.tanjaya@gmail.com
- ?Lv 45 years ago
What you want to do is to bathe up x & y so that they in reality remember upon z. (a million) x + 2y + 3z = 11 (2) 2x - y + z = 2 From (a million) slove x by using transferring something else from left to good (3) x = 11 -2y -3z Use (3) in to modify x in (2) to get the y 2(11 - 2y - 3z) - y + z = 2 => 22 - 5y - 5z = 2 => 20 - 5z = 5y => y = 4 - z (5) (5) in (3) supplies x = 11 - 2(4 - z) - 3z = 3 - z So the reply is x = 3 - z (6) y = 4 - z (7) the position both x & y in reality relies upon on parameter z as requested. to substantiate that the reply is genuine in basic terms insert (6) & (7) in (a million) and (2) to work out that each and every aspect stay equivalent. (6), (7) => (a million) (3 - z) + 2(4 - z) + 3z = 11 -3z + 3z = 11 (6), (7) => (2) 2(3 - z) -(4 - z) + z = 2 -2z +z + z = 2