What is the set up for the coefficient determinant (D) in the following system 4x – 3y = 16 3x + 7y = –25?
What is the set up for the coefficient determinant (D) in the following system
4x – 3y = 16
3x + 7y = –25
a ( 4 16)
(3 5)
b (16 -3)
(-25 7)
c (4 -3)
(3 7)
d (-3 16)
(7 -25)
What is the value for the coefficient determinant (D) in the following system
4x – 3y = 16
3x + 7y = –25
a -37
b -19
c 37
d 52
What situation will result in a final answer of “Infinitely Many Solutions” when using Cramer’s Rule
a Only D will equal zero
b Only Dx and Dy will equal zero.
c D, Dx and Dy will equal zero.
d None of the above
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Verified answer
1) c
2) c It's (4)(7) - (-3)(3)
3) c
If D = 0 but Dx and/or Dy ≠ 0, then the system is inconsistent (no solution)
If only Dx and Dy are zero, the solution is unique: x = y = 0
3. treatment right here equipment of equations, using the removing recommendations-set: 3x - 4y = -30 7x + 4y = 10 3x - 4y = -30 3x = -30 + 4y 3x + 30 = 4y 3/4x + 30/4 = y 7x + 4y = 10 4y = 10 - 7x y = 10/4 - 7/4x y-y = 0 (3/4x + 30/4) - (10/4 - 7/4x) = 0 3/4x + 30/4 - 10/4 + 7/4x = 0 10/4x + 20/4 = 0 10/4x = -20/4 10x = -20 x = -2 6. treatment right here equipment of equations, using the graphing recommendations-set: 3x - 2y = 5 2x + 5y = -3 3x - 2y = 5 -2y = 5 - 3x y = -5/2 + 3/2x 2x + 5y = -3 5y = -3 - 2x y = -3/5 - 2/5x y = y -5/2 + 3/2x = -3/5 - 2/5x 3/2x + 2/5x = -3/5 + 5/2 15/10 x + 4/10x = -6/10 + 25/10 19/10x = 19/10 19x = 19 x = a million 10. treatment right here equipment of equations, using the substitution recommendations-set: 4x - 3y = 33 x = - 4y - 25 4x - 3y = 33 -3y = 33 - 4x y = -33/3 + 4/3x y = -eleven + 4/3x x = - 4y - 25 replace y via -eleven + 4/3x x = -4 (-eleven + 4/3x) - 25 x = 40 4 - sixteen/3x - 25 x + sixteen/3x = 19 3/3x + sixteen/3x = 19 19/3x = 19 a million/3x = a million x = 3 comparable for various themes