Answer:it has one and only one solution.
Step-by-step explanation:
The given system of equations is expressed as
4x - 5y = 24 - - - - - - - - - - - - -1
2x + 3y = -10 - - - - - - - - - - - - - 2
We would eliminate x by multiplying equation 1 by 1 and equation 2 by 2. It becomes
4x - 5y = 24
4x + 6y = - 20
Subtracting, it becomes
- 11y = 44
Dividing the left hand side and the right hand side of the equation by
- 11, it becomes
- 11y/- 11 = 44/- 11
y = - 4
Substituting y = - 4 into equation 2, it becomes
2x + 3 × - 4 = -10
2x - 12 = - 10
2x = - 10 + 12
2x = 2
Dividing the left hand side and the right hand side of the equation by
2, it becomes
2x/2 = 2/2
x = 1
Find two factors of the last number that add up to the middle number.
a) two factors of 16 that add to 10: 8 and 2. Because 8x2=16 and 8+2=10. then do this:
(x+8)(x+2)
b) (x+4)(x+3)
c) (x+12)(x+1)
Answer:
-3 + sqrt 42
-3 - sqrt42
Step-by-step explanation:
assuming you want me to factor it and then find the roots:
2x^2 +12x-66
2(x^2 + 6x-33)
If x = 2 + y then by substitution . . .
8 (2 + y) - 2y = 22
16 + 8y - 2y = 22
6y = 22 - 16
6y = 6
y = 1
And x = 2 + y = 2 + 1 = 3
Therefore, in (x, y) format . . . (3, 1)
1. Height and weight 2. As height increases weight increases