Find all solutions of the form (a, b, c, d).
-$5 a + b - c + d = - 19$
$3 b + 4 c - 4 d = 24$
$+ 5 c + 4 d = 11$
$2 a + 3 b - 3 c = - 5$
A) $\{ ( 0,4,4 , - 19 \}$
B) $\{ ( - 4,4,3,0 ) \}$
C) $\{ ( 4 , - 36,3,0 ) \}$
D) $\{ ( - 1,4,0,3 ) \}$

Question

Quizplus · Accepted Answer

The correct solution can be found by solving the system of linear equations simultaneously. Given the equations:1. $5a + b - c + d = -19$2. $3b + 4c - 4d = 24$3. $5c + 4d = 11$4. $2a + 3b - 3c = -5$By substituting the values from option B $(-4, 4, 3, 0)$ into the equations, we can verify that they satisfy all the given equations, making it the correct solution. Other options do not satisfy all the equations simultaneously.

Find All Solutions of the Form (A, B, C, D) 5a+b−c+d=−195 a + b - c + d = - 195a+b−c+d=−19

Find All Solutions of the Form (A, B, C, D) $5 a + b - c + d = - 19$