Witch table represents a linear function ?
1 answer:
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Answer:
1) a=
2) b=
Step-by-step explanation:
To find y :
-x+y= 1
Take this equation as (1)
3x-y= 5
Take this equation as (2)
-3x + 3y = 3
Take (1) and multiply x to make it the same as 3x from (2)
3x - y = 5
Keep (2) the same
3x- 3y = 3
Make 3x in (1) positive
3x - 3y = 3
- 3x - y = 5
Minus (2) from (1) to factor out x
- 4y = - 2
After minus
4y = 2
Cancel out the minus
y =
Bring 4 to the other side and divide 2 by 4
To find x :
- x + ( 1/2) = 1
substitute y with its value
- x = 1/2
bring 1/2 to the other side and minus from 1
x = - 1/2
bring the negative sign to the other side
Answer:
The answer is (b)
Step-by-step explanation:
* Lets check how to find the inverse of the matrix,
its dimensions is 2 × 2
* To know if the inverse of the matrix exist find the determinant
- If its not equal 0, then it exist
* How to find the determinant
- It is the difference between the multiplication of
the diagonals of the matrix
Ex: If the matrix is
its determinant = ad - bc
- After that lets swap the positions of a and d, put negatives
in front of b and c, and divide everything by the determinant
- The inverse will be
* Lets do that with our problem
∵ The determinant = (9 × 9) - (-2 × -10) = 81 - 20 = 61
- The determinant ≠ 0, then the inverse is exist
∴ The inverse is =
* The answer is (b)