Determine whether the given point is in the solution set to the given system.
-(7, 2, -5) 3x - 8y + z = 0
2x + 4y - 3z = 37
-x + 2y - z = 2
A) Yes
B) No

Question

Quizplus · Accepted Answer

To determine if the point (7, 2, -5) is in the solution set, substitute x=7, y=2, and z=-5 into each equation. For the first equation, 3(7) - 8(2) + (-5) = 21 - 16 - 5 = 0. For the second equation, 2(7) + 4(2) - 3(-5) = 14 + 8 + 15 = 37. For the third equation, -1(7) + 2(2) - (-5) = -7 + 4 + 5 = 2. Since all equations are satisfied, the point is in the solution set.

Determine Whether the Given Point Is in the Solution Set