Back-substitute the values found fortwo variables into one of the original equations to find the value of the third variable. We can now use any one of the original equations and back-substitute the values of x and y to find the value for z. We will use Equation 2. 3x + 3y + 2z = -3 Equation 2 3(-1) + 3(2) + 2z = -3 Substitute -1 for x and 2 for y. 3 + 2z -3 Multiply and then add: 3(-1) + 3(2) = -3 + 6 = 3. 2z = -6 Subtract 3 from both sides. z = -3 Divide both sides by 2. Withx = -1, y = 2, and z = -3, the proposed solution is the ordered triple (-1, 2, -3).

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