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Solve the system of equations by determinants. 138) -3x + y + 4z - t = 11

Question : Solve the system of equations by determinants. 138) -3x + y + 4z - t = 11 : 2151588

Solve the problem.

125) Given that  = -60, use the properties of determinants to evaluate .

A) 60

B) 1

C) 0

D) -60

126) Given that  = -149, use the properties of determinants to evaluate .

A) 1

B) 0

C) 149

D) -149

127) Given that  = -220, use the properties of determinants to evaluate .

A) -220

B) 0

C) 220

D) 1

Evaluate the determinant by expansion by minors.

128)

A) -504

B) -518

C) 504

D) 490

129)

A) -85

B) 40

C) -40

D) -5

130)

A) -9

B) 5

C) 9

D) -13

131)

A) -3

B) 85

C) 3

D) -37

132)

A) -269

B) 269

C) -99

D) -221

133)

A) -48

B) 324

C) -36

D) -324

134)

A) -15

B) 42

C) 882

D) 9

135)

A) 0

B) 1610

C) 39

D) 72

136)

A) 63

B) 0

C) 38

D) 56

137)

A) -18

B) -36

C) 36

D) 0

Solve the system of equations by determinants.

138) -3x + y + 4z - t = 11

-x + 3y + z - 3t = 14

3x + 4y - 3z + t = 0

4x - y - z - 3t = -1

A) x = -1, y = 2, z = 1, t = -2

B) x = 1, y = 4, z = 3, t = 0

C) x = -1, y = -2, z = -1, t = 2

D) Inconsistent

139) 5w + x - 2y + z = 15

-w + 5x + y - 5z = 13

2w - x + 5y + 2z = 24

w + x - 5y - z = -11

A) w = 6, x = -4, y = 0, z = 5

B) w = -6, x = -4, y = 8, z = 5

C) w = -2, x = 5, y = 5, z = 1

D) w = 6, x = -2, y = 4, z = -5

140) 3w - 2y + z = -5

-w + 3x + y - 3z = 7

6w - x + + 2z = 5

x - 3y - z = -7

A) w = -3, x = 2, y = 5, z = -6

B) w = 1, x = -3, y = -7, z = -5

C) w = 1, x = -1, y = -3, z = 0

D) w = 2, x = -3, y = 3, z = -5

141) 2w + 3x - 3y + z = -16

-w + x + 4y - z = 12

3w - x + y + 4z = -4

w + x + 2y - z = 8

A) w = 1, x = -4, y = -3, z = -3

B) w = 1, x = -2, y = 3, z = -3

C) w = -1, x = -2, y = 3, z = -6

D) w = 3, x = 0, y = 1, z = -6

142) 2w - 6y + z = 8

-w + x + 4y - z = -2

6w - x + 4z = -35

x + 2y - z = -1

A) w = 0, x = -5, y = 5, z = 5

B) w = -10, x = 0, y = -4, z = 1

C) w = 5, x = 7, y = -3, z = -1

D) w = -5, x = 5, y = -3, z = 0

143) 3x + z = -14

w + x + 2y - z = 13

3w + y + 2z = 11

w + x + 2y = 11

A) w = 3, x = -4, y = 12, z = -2

B) w = 3, x = -4, y= 6, z = -2

C) w = 9, x = -12, y = 12, z = -6

D) w = 3, x = -12, y = 12, z = -4

Solve the problem using determinants.

144) Linear systems occur in the design of roof trusses for new homes and buildings. The simplest type of roof truss is a triangle. The truss shown in the figure is used to frame roofs of small buildings. If a force of 122 pounds is applied at the peak of the truss, then the forces or weights W1 and W2 exerted parallel to each rafter of the truss are determined by the following linear system of equations.

√3/2(W1 + W2) = 122

W1 - W2 = 0

Find W1 and W2.

A) W1 = 70.44 lb; W2= 70.44 lb

B) W1 = 70.44 lb; W2= 61 lb

C) W1 = -70.44 lb; W2= -70.44 lb

D) W1 = 40.67 lb; W2= 40.67 lb

145) Linear systems occur in the design of roof trusses for new homes and buildings. The simplest type of roof truss is a triangle. The truss shown in the figure is used to frame roofs of small buildings. If a 117-pound force is applied at the peak of the truss, then the forces or weights W1 and W2 exerted parallel to each rafter of the truss are determined by the following linear system of equations.

W1 + √2W2 = 234

√3W1 - √2W2 = 0

Find W1 and W2.

A) W1 = 117 lb; W2= 143.3 lb

B) W1 = 42.82 lb; W2= 52.45 lb

C) W1 = 104.9 lb; W2= 85.65 lb

D) W1 = 85.65 lb; W2= 104.9 lb

146) Barges from ports X and Y went to cities A and B. X sent 32 barges and Y sent 8. City A received 22 barges and B received 18. Shipping costs $220 from X to A, $300 from X to B, $400 from Y to A, and $180 from Y to B. $9280 was spent. How many barges went where?

A) 22 from X to A; 10 from X to B; 0 from Y to A; 8 from Y to B

B) 16 from X to A; 16 from X to B; 6 from Y to A; 2 from Y to B

C) 18 from X to A; 18 from X to B; 4 from Y to A; 4 from Y to B

D) 20 from X to A; 12 from X to B; 2 from Y to A; 6 from Y to B

147) Factories A and B sent rice to stores 1 and 2. A sent 13 loads and B sent 22. Store 1 used 18 loads and store 2 used 17. It cost $200 to ship from A to 1, $350 from A to 2, $300 from B to 1, and $250 from B to 2. $8350 was spent. How many loads went where?

A) 13 from A to 1; 0 from A to 2; 5 from B to 1; 17 from B to 2

B) 11 from A to 1; 2 from A to 2; 7 from B to 1; 15 from B to 2

C) 12 from A to 1; 1 from A to 2; 6 from B to 1; 4 from Y to B

D) 0 from A to 1; 13 from A to 2; 17 from B to 1; 5 from B to 2

Solution
5 (1 Ratings )

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