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Answer: Β ( -9, 1, 4 )==================================ExplanationThis system is in row echelon form. We can use back-substitution to start with the value of z to use it to find the value of y, then use y & z values to find the value of x.------------Plug z = 4 into the equation with y & z in it. Solve for y-3y + 2z = 5-3y + 2*4 = 5-3y + 8 = 5-3y + 8 - 8 = 5 - 8-3y = -3-3y/(-3) = -3/(-3)y = 1-----------Now plug y = 1 and z = 4 into the first equation. Solve for x.x + y - 3z = -20x + 1 - 3*4 = -20x + 1 - 12 = -20x - 11 = -20x - 11+11 = -20+11x = -9----------We get x = -9, y = 1, z = 4.Therefore, the solution is (x,y,z) = (-9, 1, 4)
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10 months ago
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