Answer:
4y + 1 = 4 - 5y
First option
Step-by-step explanation:
x - 4y - 1 =0; add both sides by + 4y + 1
x - 4y - 1 + 4y + 1 = 0 + 4y + 1
Simplifying
x = 4y + 1
x + 5y - 4 = 0; Add (-5y + 4) to both sides
x + 5y - 4 -5y + 4 = 0 -5y + 4
Simplying
x = -5y +4
x = 4 - 5y
Now you have both equations
x = 4y + 1
x= 4 - 5y
Now you can use the comparison method
4y + 1 = 4 - 5y
For the first one the answer is 2
1 nickels =$0.05
1 dime= $0.1
let the number of nickels be x and that of dimes be y.
total number of coins is given by:
x+y=42
hence:
y=42-x.......i
total amount of cash will be:
0.05x+0.1y=3.30.........ii
substituting i in ii we get:
0.05x+0.1(42-x)=3.30
0.05x+4.2-0.1x=3.3
-0.05x=-0.9
x=-0.9/(-0.05)
x=18
hence the the number nickels is x=18, the number of dimes will be y=42-x=42-18=24
