Answer:
{x,y,z} = {-18,4,2}
Step-by-step explanation:
Solve equation [2] for the variable x
x = -10y + 2z + 18
Plug this in for variable x in equation [1]
(-10y+2z+18) + 9y + z = 20
- y + 3z = 2
Plug this in for variable x in equation [3]
3•(-10y+2z+18) + 27y + 2z = 58
- 3y + 8z = 4
Solve equation [1] for the variable y
y = 3z - 2
Plug this in for variable y in equation [3]
- 3•(3z-2) + 8z = 4
- z = -2
Solve equation [3] for the variable z
z = 2
By now we know this much :
x = -10y+2z+18
y = 3z-2
z = 2
Use the z value to solve for y
y = 3(2)-2 = 4
Use the y and z values to solve for x
x = -10(4)+2(2)+18 = -18
Answer:
x=62.
Step-by-step explanation:
2x +4=128
2x=128-4
2x=124
x= 62
Answer:
x = 10
y = 11
Step-by-step explanation:
Solve for x:
2x + 3y = 53
3x(3) - y(3) = 19(3)
2x + 3y = 53
9x - 3y = 57
Add:
2x = 53
9x = 57
11x = 110
Solve algebraically:
x = 110 ÷ 11
x = 10
Now solve for y:
2(10) + 3y = 53
20 + 3y = 53
3y = 53 - 20
3y = 33
y = 33 ÷ 3
y = 11
Verify for the second equation:
3x - y = 19
3(10) - (11) = 19
30 - 11 = 19
30 = 19 + 11
30 = 30 (Correct)
Cheers!
Answer:
The answer to your question is b = 8.06 cm
Step-by-step explanation:
Data
hypotenuse = c = 9 cm
long leg = b = ?
short leg = a = 4 cm
Process
This is a right triangle so we must use the Pythagorean theorem to find the length of the long leg (b)
c² = a² + b²
-Solve for b²
b² = c² - a²
-Substitution
b² = 9² - 4²
-Simplification
b² = 81 - 16
b² = 65
-Result
b = 8.06 cm
Answer:
- 1. a, 2. d, 3. b, 4. d, 5. a, 6. b, 7. d, 8. a, 9. d, 10. b
Step-by-step explanation:
Question 1
Question 2
- log8 12 = log 12/log 8 = 1.19
Question 3
- ln 7 = log 7 / log e = 1.95
Question 4
- log4 14 as a logarithm of base 3
- log4 14 = log3 14/ log3 4
Question 5
- log6 5 as a logarithm of base 4
- log6 5 = log4 5/ log4 6
Question 6
- log4 (y − 9) + log4 3 = log4 81
- log4 (3y - 27) = log4 81
- 3y - 27 = 81
- 3y = 108
- y = 36
Question 7
- 5 log2 k − 8 log2 m + 10 log2 n
- log2 k^5 - log2 m^8 + log2 n^10 =
- log2 (k^5n^10/m^8)
Question 8
- 2 log x = log 36 log x^2 = log 36
- x^2 = 36
- x = √36
- x = ± 6
Question 9
- 4 log12 2 + log12 x = log12 96 log12 16x = log12 96
- 16x = 96
- x = 6
Question 10
- 2 log2 2 + 2 log2 6 − log2 3x = 3
- log2 (4*36/3x) = 3
- 48/x = 2^3
- 48/x = 8
- x = 48/8
- x = 6
