Answer:
The number of nickels is 45 and the number of dimes is 72.
Step-by-step explanation:
Let
x ----> number of nickels
y ----> number of dimes
Remember that
so
------> equation A
------> equation B
<em>Solve the system by substitution</em>
we have
------> equation A
------> equation B
Multiply both equations by 100 both sides
---->
--> equation C
----> equation D
substitute equation C in equation D
solve for y
Find the value of x
<em>Alternative Method</em>
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
the solution is the point (45,72)
therefore
The number of nickels is 45 and the number of dimes is 72.
Answer:
x can have two complex solutions, which are:
-2 + i
-2 - i
Step-by-step explanation:
2x² + 8x + 10 = 0
4x² + 16x + 20 = 0
4x² + 16x + 16 = -4
(2x + 4)² = -4
2x + 4 = √-4
2x = -4 ± i√4
2x = -4 ± 2i
x = -2 ± i
So x is equal to -2 + i and -2 - i.
Answer:
51
Step-by-step explanation:
Set up a system of equations:
2x+3y=6
x-3y=9
You can solve this with elimination by adding the two equations together:
3x+0y = 15
3x=15
x=5
Then, plug this value back into either of the original equations to find the y value:
5-3y=9
-3y=4
y= -4/3
The point of intersection is (5,-4/3)
