Homework: HW #62 Score: 0 of 3 pts 3.4.23 Solve the following system. If the sys

Question

Homework: HW #62 Score: 0 of 3 pts 3.4.23 Solve the following system. If the system's equations are dependent or if there is no solution, state this. 5017(5 complete) HW Score: 40% 2x-4y-z#10 3x + 2y + z # 14 5x-2y+ 3z 18 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O AL There is one solution. The solution is (1:1,, (Type an integer or a simplified fraction. Type an exact answer in simplified form.) The system is dependent. There is no solution. B. ic. aad then click Check Answer.

Explanation / Answer

By adding the equation (1) and (2) we will get

5x - 2y = 24 (equation- 4)

Subtracting equation-4 from equation -3 we will get

3z = 18

Z = 6

Putting Z = 6 in equation-1 we will get

2x - 4y - 6 = 10

Or, 2x - 4y = 16 (equation-5)

2 * Equation-4 : 10x - 4y = 48

5 * equation-5 : 10x - 20y = 80

Subtracting these two equations we will get

16y = -32

Or, y = -2

From equation-5

2x - 4y = 16

Or, 2x - 4 * (-2) = 16

Or, 2x + 8 = 16

Or, 2x = 8

Or, x = 4

so the solution is (4, -2, 6)

so Option-A is the correct answer.

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