linear systems with 3 variables
2x+5y=-8
3x-4y+z=16
x+3y+2z=5

solve for x, y and z

Question

linear systems with 3 variables
2x+5y=-8
3x-4y+z=16
x+3y+2z=5

solve for x, y and z

anonymous · Answer

x = 1, y = -2, z = 5

anonymous · Answer

how did you get it?

anonymous · Answer

Same way you solve 2-variable systems of equations, just with slightly more writing. I solved for x in terms of y in the top equation, then plugged that in for whenever there was an x in the next two equations. From there, you can solve for z in terms of y, then because they both are equal to z, you can make them equal to each other, etc etc.

Pretty much the same way as 2-variable systems of equations.

anonymous · Answer

This is exactly the same as one of your previous questions http://openstudy.com/groups/mathematics#/groups/mathematics/updates/4e76fbe40b8b7d4f6d0aca3f

anonymous · Answer

i need the exact solutions if you don't mind. sorry for the bother

anonymous · Answer

Someone in that other thread posted the exact worked solution. You should work it out yourself though, or you probably won't be able to do it in an exam.