Answer:
8 and 9.
Step-by-step explanation:
Let the two unknown numbers be a and b.
When added together, they equal 17. In other words:
a + b = 17.
The <em>difference</em> between five times the first number and three times the second number is 13. In other words:
5a - 3b = 13.
We have a system of equations. We can use substitution. From the first equation, we can derive a = 17 - b. Let's substitute this in:
5(17 - b) - 3b = 13
85 - 5b - 3b = 13
-8b = -72
b = 9
a = 17 - b.
a = 17 - 9 = 8.
Thus, the two numbers are 8 and 9.
Answer:
I think it is 11
Step-by-step explanation:
Answer:
Since L.H.S = R.H.S = 0, for both
and
, y₁ and y₂ both satisfy the equation y" - y = 0 and are thus solutions to the differential equation.
Step-by-step explanation:
To check whether the given functions are solutions the given differential equation, we differentiate the functions and then insert it into the given equation.
So y" - y = 0 and

Substituting these values of y and y" into the left hand side of the equation, we have
y" - y

Since L.H.S = R.H.S
So
is a solution of the differential equation.
When

Substituting y and y" into the left hand side of the equation, we have
y" - y

Since L.H.S = R.H.S
So,
is a solution of the differential equation.