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Consider the following two systems of equations: 5x1 + x2 – 3x3 — Зхз — 0 5х1 + X2 — Зхз — - 3x3 -9x1 + 2x2 + 5x3 = 1 -9x1 + 2x2 + 5x3 = 5 4x1 + x2 – 6x3 = 9 4.x1 + x2 – 6x3 = 45 = 45 It can be shown that the first system has a solution. Use this fact and the theory from this section to explain why the second system must also have a solution. (Make no row operations.)

Consider the following linear equations,

Given the following equations, find x a. (81)4* = 9 b. (27)2x+1 = c. 5e*-1- 2 = 23

Consider the following 6 equations: 5x - 4y + 2z+3v+w=47 -x-3y3z-5u = -22 -3x-y 4z3u+v-3w=-51 4x + y2z+3u-3v = -33 5x3y2z5u+w=6 -x+y-z+5x + 5y + 2z = 33. Put the above equations in the form Ax - b. Which of the following are the correct solution? u=3 Z=5 v=7 w=2 y=2 x=2

Which represents the equation 6x+3y=12