Given:
Total number of colored pencils = 16
Colored pencils fit in a box = 8
To find:
The number of boxed that will fit the 16 pencils.
Solution:
According to the question 8 colored pencils will fit in a box. So, we have
8 pencils = 1 box
Multiply both sides by 2.
2×8 pencils = 2×1 box
16 pencils = 2 box
Therefore, 2 boxes are required to fit the 16 colored pencils.
Answer:
-8x + 5y + 4
Step-by-step explanation:
- 6x + 5y - 2x + 4 Group like terms
-6x - 2x + 5y + 4
= - 8x + 5y + 4
Answer:
x= 2,
,y = 5
Step-by-step explanation:
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 5x - 5
// Plug this in for variable y in equation [2]
[2] -4x + 2•(5x-5) = 2
[2] 6x = 12
// Solve equation [2] for the variable x
[2] 6x = 12
[2] x = 2
// By now we know this much :
x = 2
y = 5x-5
// Use the x value to solve for y
y = 5(2)-5 = 5
Solution :
{x,y} = {2,5}
4x - 2y - z = - 5 ______×2x - 3y + 2z = 3 _______×13x + y - 2z = - 5 ______×1
8x - 4y - 2z = - 10x - 3y + 2z = 33x + y - 2z = - 5
8x - 4y - 2z = - 10(+) x - 3y + 2z = 3_____________9x - 7y = - 77y = 9x + 7y = 9/7x + 1
x - 3y + 2z = 3(+) 3x + y - 2z = - 5_____________4x - 2y = - 24x - 2(9/7x + 1) = - 24x - 18/7x - 2 = - 210/7x = 0x = 0
y = 9/7(0) + 1y = 1
0 - 3(1) + 2z = 32z = 6z = 3
