To do this problem you have to create two equations. one would be 18=4x+3y
an the other would be 9=2x+y. in this eqaution X is the number of DVDs and Y is the number of Video games. Then you solve for Y in the second equation and you get y=-2x+9. After that you then input this equation in for the other equation and you will have 18=4x+3(-2x+9). you solve for X in this problem and then you take the answer of x and put it in for x in the other equation.
so, 18=4x-6x+27
subtract 27 and add the 4x and -6x
-9=-2x
x=4.5
after this you put it in the other equation
9=-2(4.5)+y
multiply the -2 and 4.5
9=-9+y
add the 9
y=0
Answer:
or 
, where 
Step-by-step explanation:
The given trigonometric equation is:
By the zero product principle;
Either 
or 
When , then
When , then 
This implies that: 
Therefore the general solution is or , where
X+2y = 9 ---------eq.1
x-y =6 ----------- eq.2
x = 9 -2y (from eq. 1)
Now substitute the value of x in the second eq.2
9-2y-y =6
-3y = -3
y =1
So,
x +2 (1)= 9
x= 7
x - y = - 11 .............( 1 )
y + 7 = - 2x ...............( 2 )
from equation ( 1 )
x - y = - 11
x = -11 + y ...........( 3)
putting x in equation ( 2 )
y + 7 = - 2 x
y + 7 = -2 ( -11 + y ) y + 7 = 22 - 2 y y + 2 y =22 - 7
3 y = 15 y = 15 / 3
putting value of y in equation 3
x = -11+ ( 13 /5 ) x = -33 /3 + 15 / 3 ( l.c.m)
x = -17 / 5
check
x = -11 + y
- 17 / 5 = -11 + 13 / 5
-17 /5 = -17 / 5
