Answer :
x=price of a hot dog
y=price of a soft drink
We can suggest the following system of equations:
6x+4y=13
3x+4y=8.50
We solve this system of equations by reduction method.
6x+4y=13
-(3x+4y=8.5)
------------------------
3x=4.5 ⇒x=4.5/3=1.5
Answer: the price of a hot dog will be $1.5.
If you want to know the price of a soft drink, you have to find "y".
6x+4y=13
6(1.5)+4y=13
9+4y=13
4y=13-9
4y=4
y=4/4
y=1
The price of a soft drink is $1.
y=price of a soft drink
We can suggest the following system of equations:
6x+4y=13
3x+4y=8.50
We solve this system of equations by reduction method.
6x+4y=13
-(3x+4y=8.5)
------------------------
3x=4.5 ⇒x=4.5/3=1.5
Answer: the price of a hot dog will be $1.5.
If you want to know the price of a soft drink, you have to find "y".
6x+4y=13
6(1.5)+4y=13
9+4y=13
4y=13-9
4y=4
y=4/4
y=1
The price of a soft drink is $1.
Answer:
The price of a hot dog, x = $1.1 and the price of soft drink, y = $1.6
Step-by-step explanation:
Let, x= price of a hot dog and y= price of a soft drink
Now, Jamie buys 6 hot dogs and 4 soft drinks for $13.
Then, [tex]6x+4y=13[/tex]
Also, Amy buys 3 hot dogs and 4 soft dogs for $8.50.
Then, [tex]3x+4y=8.5[/tex]
Thus, the system of equations is given by,
[tex]6x+4y=13\ .........(1)\\\\3x+4y=8.5\ ...........(2)[/tex]
Multiplying (2) by 3 and subtracting the equations, we have,
[tex]8y=12.5\\\\y=1.6[/tex]
Then, putting the value of 'y' in equation (1) gives us,
[tex]6x+4\times 1.6=13\\\\6x=13-6.4\\\\6x=6.6\\\\x=1.1[/tex]