Answer:
x = - 3, y = 6
Step-by-step explanation:
For the 2 sides to be equal then the coefficients of the imaginary terms and the real terms must be equal.
Given
- 3 + yi = x + 6i , then
x = - 3 and y = 6
Answer:
(4, 3 )
Step-by-step explanation:
Given a system of equations graphically, then the solution is at the point of intersection of the 2 lines.
The lines intersect at (4, 3 ) ← solution
Multiply bottom equation by -3 to add and eliminate y’s.
So...
5x-15y=10
+-9x+15y=18
You get -4x=28 so x=-7
Plug in to get y
5(-7)-15y=10
-35-15y=10
-15y=45
So y=-3
Check in other equation
3(-7)-5(-3)=
-21+15=-6
So x= -7 and y= -3
Answer:
first number is 2, second number is 2
Step-by-step explanation:
If the first number is 'a' and second number is 'b'. We can use simultaneous equations
9a + 4b = 26
3a + 4b = 14
therefore by taking the second equation from the first
6a = 12
a = 2 (first number)
as a = 2
(3 x 2) + 4b = 14
6 + 4b = 14
4b = 8
b = 2 (second number)
The total amount of interest earned each year will be
5.2% × $1,500,000 = $78,000
_____
We would need to know more about the beneficiaries (their number and the way they might split the proceeds) and how they might use the balance in the account (whether interest only, or interest and principal are withdrawn) before we could answer the question asked.