Question

Which of the following sets of values for x₁, x-2, x₃, and x₄ satisfy the equation 4x₁+6x₂-x₃+7x₄=84?

A. x₁=5, x₂+6, x₃=2, x₄=4
B. x-1=7, x₂=2, x₃=1, x₄=8
C. x₁=6, x₂=3, x₃=5, x₄=4
D. x-1=4, x₂=5, x₃=3, x₄=6

Answer 1

None of the given options satisfy the equation.

Step-by-step explanation:

To determine which set of values for x₁, x₂, x₃, and x₄ satisfy the equation 4x₁+6x₂-x₃+7x₄=84, we can substitute each set of values into the equation and check if the equation holds true.

Let's substitute the values from option D into the equation:

4(4) + 6(5) - 3(3) + 7(6) = 16 + 30 - 9 + 42 = 79 ≠ 84

Since the equation does not hold true for option D, we can conclude that none of the given options satisfy the equation