Solve the system
-2y+5z=-3
y=-5x-4z-5
x=4z+4
1 answer:
-2y + 5z = -3 y = -5x - 4z - 5 x = 4z + 4 -2(-5(4z + 4) - 4z - 5) + 5z = -3 -2(-20z - 20 - 4z - 5) + 5z = -3 -2(-20z - 4z - 20 - 5) + 5z = -3 -2(-24z - 25) = -3 48z + 50 = -3 <u> - 50 - 50</u> <u>48z</u> = <u>-53</u> 48 48 z = -1⁵/₄₈ x = 4(-1⁵/₄₈) + 4 x = -4⁵/₁₂ + 4 x = ⁵/₁₂ y = -5(⁵/₁₂) - 4(-1⁵/₄₈) - 5 y = -2¹/₂ + 4⁵/₁₂ - 5 y = 1¹¹/₁₂ - 5 y = -3¹/₂ (x, y, z) = (⁵/₁₂, -3¹/₂, -1⁵/₄₈)
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