Question

PLEASE HELP!!!!

What is the solution to the following system of equations:

3x + 4y + z = 10
2x - 5z = 4
y = 1

Answer 1

3x + 4y + z = 10

3x + 4(1) + z = 10

3x + 4 + z = 10

3x + z = 10-4

3x + z = 6


So we have two equations with two unknowns (x and z)

3x + z = 6
2x - 5z = 4


Solve the first equation for z


3x + z = 6

z = 6 - 3x


and then plug in z = 6 - 3x into the second equation


2x - 5z = 4


2x - 5(6-3x) = 4


2x - 30+15x = 4


Now solve for x


2x - 30+15x = 4


17x - 30 = 4


17x = 4+30


17x = 34


x = 34/17


x = 2


Now that we know that x = 2, we can use this to find z


z = 6 - 3x


z = 6 - 3(2)


z = 6 - 6


z = 0


So the solutions are x = 2, y = 1, and z = 0


They can be represented as the ordered triple (2,1,0)

Answer 2

Wow! Look at you go, again! Thank you so much - I really do appreciate your thoroughness. I know how long that takes to type and keep your brain and fingers straight, at the same time! :)

Answer 3

lol it's not so bad really

Answer 4

:)

Answer 5

exactly my thoughts, i love doing this (weird I know huh lol)

Answer 6

No, not at all! :) I love to help teach, as well (maybe just not so much, in the area of math). I don't think it's weird, at all. It's just inside some people.