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for the love of math someone solve these two problems! Find x,y,z:2x - y + z = 03x - 2y + 4z = 115x + y - 6z = -32x - 2y +3z = 72x + y + 5z = 173x- 4y -2z = 1

Jvolel

by Jvolel at November 05, 2009

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If you haven't learned how to use matrices, this will just take a lot of solving for variables and plugging them in to other equations. For the first one, solve for y (1) 2x+z = y then plug into the other equations (2) 3x-2(2x+z) + 4z = 11 --> 2z-11= x (3) 5x+2x+z-6z = -32 --> 7x-5z = -32 then plug (2) into (3) 7(2z-11) -5z = -32 --> 9z - 77 = -32 --> 9z= 45 --> z=5 From here you can just plug z back into your previous equations to find x and y. Try these methods on the second system too.

Alison037 Alison037 November 05, 2009

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