Question

Plz help i dont want to fail

Answer 1

One Slice of Pizza is $1.50

One cola is $0.75

Explanation:

First, we need to define our variables:

x = pizza

y = cola

Next, we need to create two equations (one for Tanisha's order and one for Rachels order) using the information provided in the problem:

3x + 2y = 6.00

2x + 3y = 5.25

Now, we need to use one of the equations to solve for one of the variables:

3x + 2y = 6.00

2y = 6 - 3x

y = 3 - 1.5x

Next, we need to substitute y into one of the equations to find x:

2x + 3 (3 - 1.5x) = 5.25

2x + 9 - 4.5x = 5.25

-2.5x + 9 = 5.25

-2.5x = -3.75

x (or price per slice of pizza) = 1.50

Finally, we need to use the value we found for x to solve for y:

(2 x 1.5) + 3y = 5.25

3 + 3y = 5.25

3y = 2.25

y (or price per cola) = .75

I hope this helps!

-TheBusinessMan

Answer 2

`p=\$1.50,\\c=\$0.75`

Explanation:

We can write the following system of equations:

`\begin{cases}3p+2c=6.00,\\2p+3c=5.25\\\end{cases}`

Multiply the second equation by
`-(3)/(2)` to isolate and solve for
`c`:

`\begin{cases}3p+2c=6.00,\\-3p-4.5c=-7.875\\\end{cases},\\-2.5c=-1.875,\\c=\fbox{$\$0.75$}`,

Now plug in
`c=0.75` into any equation to solve for
`p`:

`3p+2(0.75)=6.00,\\3p=4.50,\\p=\fbox{$\$1.50$}`.