Sign In
Ask Question
Mathematics
Matilda Moore
5 May, 09:30
3x - 2y + 2z = - 2
x+6y-2z=-2
x+2y = 0
+2
Answers (
1
)
Savion Mccullough
5 May, 12:13
0
(x, y, z) → ( - 2, 1, 3)
given the 3 equations
3x - 2y + 2z = - 2 → (1)
x + 6y - 2z = - 2 → (2)
x + 2y = 0 → (3)
By a process of elimination we can solve for x, y and z
(1) + (2) term by term will eliminate z
4x + 4y = - 4 → (4)
from (3) x = - 2y which we can substitute into (4)
4 ( - 2y) + 4y = - 4
- 8y + 4y = - 4
- 4y = - 4 (divide both sides by - 4)
y = 1
substitute y = 1 into (3)
x + 2 = 0 ⇒ x = 0 - 2 = - 2
substitute x = - 2, y = 1 into (1) or (2) and solve for z
(1) : - 6 - 2 + 2z = - 2
- 8 + 2z = - 2 (add 8 to both sides)
2z = 6 (divide both sides by 2)
z = 3
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Get an answer to your question ✅
“3x - 2y + 2z = - 2 x+6y-2z=-2 x+2y = 0 ...”
in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers
You Might be Interested in
Can an angle ever have the same measure as its complement? Explain.
Answers (1)
The upper atmospheric temperature of the earth if 200 C. Every year it goes up by 4%. What will be the temperature next year?
Answers (1)
If f (x) = 3x-1 and g (x) = 4x-2, what is h (x) when h (x) is = 2 f (x) + g (x) ?
Answers (1)
A group of preschoolers has 8 boys and 24 girls. What is the ratio of girls to all children? Show your work.
Answers (1)
In the diagram of a quadrilateral below, the variables represent the length of the sides in inches. b = 11 c = 16 b-2 c-b Write an expression using the variables b and c that could be used to find the perimeter of the quadrilateral
Answers (1)
New Questions in Mathematics
Place the digit 2, 4, 7, and 8 in blank blank blank : blanton to create a division problem withe the greatest quotient.
Answers (1)
If a 42.9 ft talk flagpole casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall woman casts?
Answers (1)
Given the system of equations presented here: 2x + 4y = 14 4x + y = 20 Which of the following actions creates an equivalent system such that, when combined with the other equation, one of the variables is eliminated?
Answers (2)
Do you think x and x by the power of 2 are like terms? Explain using words, diagrams, tables etc.
Answers (1)
A square lawn has area 128128 ft squared. ft2. a sprinkler placed at the center of the lawn sprays water in a circular pattern that just covers the lawn. what is the radius of the circle?
Answers (1)
Home
»
Mathematics
» 3x - 2y + 2z = - 2 x+6y-2z=-2 x+2y = 0
Sign In
Sign Up
Forgot Password?