SOLUTION: A KELLY BOUGHT 2 TACOS AND 3 ENCHILLADAS. FRED BOUGHT 3 TACOS AND 5 ENCHILLADAS. ONE BILL IS $7.80 THE OTHER IS $12.70. HOW MUCH WAS EACH TACO AND ECHILLADA ?

Question 124262: A KELLY BOUGHT 2 TACOS AND 3 ENCHILLADAS. FRED BOUGHT 3 TACOS AND 5 ENCHILLADAS. ONE BILL IS $7.80 THE OTHER IS $12.70. HOW MUCH WAS EACH TACO AND ECHILLADA ?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
2t+3e=7.8
3t+5e=12.7
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tacos cost $.90 and enchaladas $2.00
Ed
.

Solved by pluggable solver: Linear Systems by Addition

We'll solve the system:

by elimination by addition.To eliminate by addition, we need to set both coefficients of x to numbers with changed signs, i.e a and -a. Since in the second equation we have 3 as our coefficient for x, to get -2 we have to multiply all terms of the second equation by which is equal to -0.666666666666667.

Multiplying, we get on our second equation:

Adding both equations we get:

Since 2 and -2 cancel out, we have a linear equation:Therefore, we know that e = 2.

Plugging that in into the first equation gives us:

Therefore, our answer is:

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