Given:
The system of equations is
To find:
The missing value for which the given system of equations have infinitely many solutions.
Solution:
Let the missing value be k.
We have,
Taking all the terms on the left side, the given equations can be rewritten as
The system of equations 
and 
have infinitely many solutions if
We have,
Now,
On cross multiplication, we get
Therefore, the missing value is -10.
Answer:
3x+3
Step-by-step explanation:
well when thinking of gravity you have to think of the size and mass of the object so,
The sun (largest and most mass)
Earth
Earth's moon
Discover satellite (cause it's tiny and light compared to the sun!)
#5 is
Let's solve your equation step-by-step.
2
5
x−1=9
Step 1: Add 1 to both sides.
2
5
x−1+1=9+1
2
5
x=10
Step 2: Multiply both sides by 5/2.
(
5
2
)*(
2
5
x)=(
5
2
)*(10)
x=25
Answer:
x=25
To factor, you can first treat it like a single bracket and find the common factor. In this case, the common factor is 3x, so you get
3x(x² + 7x + 12)
Now you can factor the bracket normally, by finding factors of 12 that add up to make 7. The factors would be 3 and 4, so the bracket becomes (x + 3)(x + 4).
This leaves your final answer as
3x(x + 3)(x + 4)
I hope this helps!
