Solve this system of equations. 5x+3y+z=-29 x-3y+2z=23 14x-2y+3z=-18 Write the solution as an ordered triple.
x=2 y=7 5x+3y= 5 7 x 2 x 3 ____ _____ 10 21 21 + 10 _______ 31
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It is a linear equation in the variable x. You can solve for x using algebra: -5x + 3 = -22 -5x = -25 -x = -5 x = 5
To solve an equation with three unknowns, x, y and z, you require 3 independent equations.
5x+3+x=24 6x+3=24 6x=21 x=3.5
If: x+9+5x = 21+2x Then: x = 3
you cant
23
7
x = -8
3
x = -1.2, y = -3
-5x+50 = 25 -5x = 25-50 -5x = -25 x = 5
x=35
8x + 7 = 5x + 28 subtract 5x and 7 to both sides 3x = 21 divide by 3 to both sides x = 7
172=x