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11 June, 16:55

2. Solve the following system. Show all your work. {3x - 2y + 2z = 30 {-x + 3y - 4z = - 33 {2x - 4y + 3z = 42

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  1. 11 June, 18:27
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    From the system of equations, we have 3 unknowns and 3 equations. Therefore, it can be solved.

    3x - 2y + 2z = 30 (1)

    -x + 3y - 4z = - 33 (2)

    2x - 4y + 3z = 42 (3)

    We can write equation 2 x as a function of y and z and substitute the new equation to the other equations.

    x = 3y - 4z + 33 (2)

    3 (3y - 4z + 3) - 2y + 2z = 30 (1)

    2 (3y - 4z + 3) - 4y + 3z = 42 (3)

    We simplify and solve the equations and we get values,

    x = 4

    y = - 7

    z = 2
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