Question

10. Write and solve a system of linear equations for the situation described below.
"You are buying breakfast for your basketball team. You buy 6 cups of coffee and 12 bagels and
spend $39. You forgot to buy breakfast for your coaches so you have to go back and you buy 2
cups of coffee and 3 bagels for $11.50."

Answer 1

Answer:

the price of the  bagel is  1.5 $

and a cup  of coffee is 3.5 $

Step-by-step explanation:

6c+12b=39

2c+3b=11.5   |*(-3)

6c+12b=39

-6c-9b=-34.5

---------------------

 /    3b=4.5

so the price of the  bagel is  4.5/3=1.5 $

then 2c+3*1.5=11.5

        2c+4.5=11.5

         -4.5      -4.5

      2c=7  $

  and a cup  of coffee is 7/2=3.5 $