Sign In
Ask Question
Vaughn Wallace
Mathematics
13 July, 15:50
2x-5y+5z=-10
5x-4y+3z=-19
X-y+5z=17
+3
Answers (
1
)
Camron May
13 July, 15:53
0
x = - 125/71, y = 448/71, z = 356/71
Step-by-step explanation:
Solve the following system:
{2 x - 5 y + 5 z = - 10 | (equation 1)
5 x - 4 y + 3 z = - 19 | (equation 2)
x - y + 5 z = 17 | (equation 3)
Swap equation 1 with equation 2:
{5 x - 4 y + 3 z = - 19 | (equation 1)
2 x - 5 y + 5 z = - 10 | (equation 2)
x - y + 5 z = 17 | (equation 3)
Subtract 2/5 * (equation 1) from equation 2:
{5 x - 4 y + 3 z = - 19 | (equation 1)
0 x - (17 y) / 5 + (19 z) / 5 = (-12) / 5 | (equation 2)
x - y + 5 z = 17 | (equation 3)
Multiply equation 2 by 5:
{5 x - 4 y + 3 z = - 19 | (equation 1)
0 x - 17 y + 19 z = - 12 | (equation 2)
x - y + 5 z = 17 | (equation 3)
Subtract 1/5 * (equation 1) from equation 3:
{5 x - 4 y + 3 z = - 19 | (equation 1)
0 x - 17 y + 19 z = - 12 | (equation 2)
0 x - y/5 + (22 z) / 5 = 104/5 | (equation 3)
Multiply equation 3 by 5:
{5 x - 4 y + 3 z = - 19 | (equation 1)
0 x - 17 y + 19 z = - 12 | (equation 2)
0 x - y + 22 z = 104 | (equation 3)
Subtract 1/17 * (equation 2) from equation 3:
{5 x - 4 y + 3 z = - 19 | (equation 1)
0 x - 17 y + 19 z = - 12 | (equation 2)
0 x+0 y + (355 z) / 17 = 1780/17 | (equation 3)
Multiply equation 3 by 17/5:
{5 x - 4 y + 3 z = - 19 | (equation 1)
0 x - 17 y + 19 z = - 12 | (equation 2)
0 x+0 y+71 z = 356 | (equation 3)
Divide equation 3 by 71:
{5 x - 4 y + 3 z = - 19 | (equation 1)
0 x - 17 y + 19 z = - 12 | (equation 2)
0 x+0 y+z = 356/71 | (equation 3)
Subtract 19 * (equation 3) from equation 2:
{5 x - 4 y + 3 z = - 19 | (equation 1)
0 x - 17 y+0 z = (-7616) / 71 | (equation 2)
0 x+0 y+z = 356/71 | (equation 3)
Divide equation 2 by - 17:
{5 x - 4 y + 3 z = - 19 | (equation 1)
0 x+y+0 z = 448/71 | (equation 2)
0 x+0 y+z = 356/71 | (equation 3)
Add 4 * (equation 2) to equation 1:
{5 x + 0 y+3 z = 443/71 | (equation 1)
0 x+y+0 z = 448/71 | (equation 2)
0 x+0 y+z = 356/71 | (equation 3)
Subtract 3 * (equation 3) from equation 1:
{5 x+0 y+0 z = (-625) / 71 | (equation 1)
0 x+y+0 z = 448/71 | (equation 2)
0 x+0 y+z = 356/71 | (equation 3)
Divide equation 1 by 5:
{x+0 y+0 z = (-125) / 71 | (equation 1)
0 x+y+0 z = 448/71 | (equation 2)
0 x+0 y+z = 356/71 | (equation 3)
Collect results:
Answer: {x = - 125/71, y = 448/71, z = 356/71
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Find an answer to your question 👍
“2x-5y+5z=-10 5x-4y+3z=-19 X-y+5z=17 ...”
in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
You are ordering a new home theater system that consists of a TV, surround sound system, and DVD player. You can choose from 18 different TVs, 18 types of surround sound systems, and 4 types of DVD players.
Answers (1)
Slope=-6; passes through (-4,1)
Answers (1)
5. This formula works out the tax you pay. T = 0.3 (E - 10 600) T is the tax you pay in pounds. E is the amount you earn in pounds. Alison pays £5200 tax. Work out the amount she earns.
Answers (1)
Convert. Round to the nearest hundredth if necessary. Acetic acid costs $33.19/gal. Find the cost per liter. X / L $
Answers (1)
What is the slope of the line? 2x+4y=6-y
Answers (1)
New Questions in Mathematics
If a wave has a wavelength of 9 meters and a period of 0.006, what is the velocity of the wave?
Answers (2)
What is a common factor of 72 and 108
Answers (2)
13. The volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 210 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new pressure of the gas if the volume is decreased to 70 cubic
Answers (1)
This equation has one solution. 3 (x - 2) + 4x = 10 (x + 1)
Answers (1)
An SRS of size n was taken to estimate mean body mass index (BMI) for girls between 13 and 19 years of age. The 95% confidence interval obtained had lower limit 19.5 and upper limit 26.3. Which of the following is NOT true? 1.
Answers (1)
Home
»
Mathematics
» 2x-5y+5z=-10 5x-4y+3z=-19 X-y+5z=17
Sign In
Sign Up
Forgot Password?