Daily Test System of Linear Equations in Three Variables

      
Known system of linear equation as follows:
 $\frac{1}{x}+\frac{2}{y}=-3$ 
 $\frac{1}{x}-\frac{2}{z}=2$ 
 $\frac{1}{y}+\frac{2}{z}=-2$ 
The result of     $x+y+z=....$  

•  $-2$  
  

•  $-\frac{1}{2}$  
  

•  $\frac{1}{3}$  
  

•  $\frac{1}{2}$  
  

•  $2$  
  

Given system of linear equations:

 $x+3y+z=0$ 
 $2x-y+z=5$ 
 $3x-3y+2z=10$ 
The value of    $x.y.z=....$ 

• - 4
  

• - 3
  

• - 2
  

• 2

• 4

The solution to thr system of equations

 $3x+2y-z=13;\ \$  

 $2x+4y+z=15;$ 

  $4x-y+2z=3$  

is … 

•  $x=3,\ y=2,\ and\ z=-1$  
  

•  $x=3,\ y=-1,\ and\ z=2$  
  

•  $x=2,\ y=\ 3,\ and\ z=-1$  
  

•  $x=2,\ y=-1,\ and\ z=3$  
  

•  $x=-1,\ y=2,\ and\ z=3$  
  

Ali, Budi, Cici, and Dedi went to a book shop to buy notebooks, pens and pencils with the same brand. Ali bought 3 notebooks, 1 pen and 2 pencils at a price of Rp. 11,000.00. Budi bought 2 notebooks, 3 pens and 1 pencil at a price of Rp. 14,000.00. Cici bought 1 notebook, 2 pens and 3 pencils at a price of Rp. 11,000.00. The price Dedi must pay if he buys 2 notebooks, 1 pen and 1 pencil is ....

• Rp 6.000,00

• Rp 7.000,00

• Rp 8.000,00

• Rp 9.000,00

• Rp 10.000,00

Ani, Nia, Ina, and Tuti go together to the fruit shop. Ani bought 2 kg of apples, 2 kg of grapes, and 1 kg of oranges at a price of Rp. 67,000.00. Nia buys 3 kg of apples, 1 kg of grapes, and 1 kg of oranges at a price of Rp. 61,000.00. Ina buys 1 kg of apples, 3 kg of grapes, and 2 kg of oranges at a price of Rp. 80,000.00. The price that Tuti must pay if she buys 1 kg of apples, 1 kg of grapes and 4 kg of oranges is. . . .

• Rp 37.000,00

• Rp 44.000,00

• Rp 51.000,00

• Rp 55.000,00

• Rp 58.000,00

Mr. Bima is 28 years older than Andi's age. Mrs. Cintya's age is 6 years younger than Pak Bima's. If the total age of Pak Bima, Bu Cintya, and Andi is 119 years, the total age of Andi and Bu Cintya is. . . ,

• 86 years

• 74 years

• 68 years

• 64 years

• 58 years

Three numbers have an average of 21, while the difference between the middle number and the smallest number is 9. The middle number minus 3 equals the difference between the largest and smallest numbers. The smallest number is….

• 9

• 12

• 15

• 21

• 30

One day, Eki, Farid, and Gilang were playing marbles on the field. Three times the number of Eki's marbles is equal to twice the number of Farid and Gilang's marbles. Farid 4 has more marbles than Gilang. If their number is 50, then the difference between Eki and Gilang is ....

• 5

• 6

• 7

• 8

• 9

Once upon a time, a furniture manufacturing workshop which had 3 craftsmen named Mr. Arman, Mr. Budi, and Mr. Catur received an order to make 1 cabinet and 1 tables. Mr. Arman and Mr. Budi were able to finish the job for 4 weeks. If Mr. Arman works with Mr. Catur they can complete the order in 2,4 weeks, whereas if Mr. Budi works with Mr. Catur they can complete the job for 3 weeks. The amount of time needed to complete an order if Mr. Budi if working alone is ... weeks.

• 4

• 6

• 10

• 12

• 16

Mrs. Lusiana bought 5 kg of eggs, 2 kg of meat and 1 kg of shrimp at a price of Rp380.000. Mrs. Nadia bought 3 kg of eggs and 1 kg of meat by paying Rp160.000. Bu Tiara bought 3 kg of meat and 2 kg of shrimp at a price of Rp. 460.000. The price that Mrs. Irma must pay if she buys 2 kg of eggs, 1 kg of meat, and 1 kg of shrimp is….

• Rp180.000,00

• Rp220.000,00

• Rp300.000,00

• Rp340.000,00

• Rp360.000,00