Answer:
* Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.
* Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I.
Step-by-step explanation:
Equation I: 4x − 5y = 4
Equation II: 2x + 3y = 2
These equation can only be solved by Elimination method
Where to Eliminate x :
We Multiply Equation I by a coefficient of x in Equation II and Equation II by the coefficient of x in Equation I
Hence:
Equation I: 4x − 5y = 4 × 2
Equation II: 2x + 3y = 2 × 4
8x - 10y = 20
8x +12y = 6
Therefore, the valid reason using the given solution method to solve the system of equations shown is:
* Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.
* Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I.
Answer:
80 pages
Step-by-step explanation:
Given:
Number of pages printed = 5493
Number of booklets made = 68
Let each booklet use 'x' pages.
So, pages used by 68 booklets is given by unitary method and is equal to:

Now, total number of pages are 5493.
Therefore, the pages used by the 68 booklets should be less than or equal to the total number of pages available. So,

Therefore, the number of pages in each booklet is 80.
we are given
x^2-4x-5
we can use formula
x^2-(a+b)x+ab=(x-a)(x-b)
so, we have
a+b=4
ab=-5
now, we can solve for a and b
and we get
a=5, b=-1
now, we can plug it in formula
x^2-4x-5=(x-5)(x+1) ............Answer
Answer:
31 over 3
Step-by-step explanation:
648-259= 389
There are 259 boys and 389 girls.