Systems of Equations Project

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I forgot to check the prices on the veggies I bought! How do I know how much they were??
Well that's easy, you spent $40 in total and bought 3 carrots and 4 tomatoes, I spent $18 and only bought 1 carrot and 6 tomatoes.
But that doesn't help!
How about we go to a café and I'll explain it more.
So 3 carrots plus 4 tomatoes equals $40. We solve the equation for C which leaves us with 3c+4t=40 c=18-6b
So carrots are C and tomatoes are T.
Ew they're talking about math. I'm gonna go clean in the back...
Then we substitute the value of C which gives us 3(18-6+t)+4t=40.We solve the equation for T and end up with 1.
Which means each tomato was only a dollar!
Right! But we aren't done yet. We have to substitute the 1 we got from T which gives us the equation c=18-6(1).We then solve the equation for C.
This isn't as hard as I thought it was!
That's right!See? It wasn't hard at all!
After we solve the equation we get C=12.So our solution is...?
Carrots were $12 each and tomatoes we $1 each!

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