The cost of 2 bottles of water and 3 bags of pretzels is $7.05. the cost of a bag of pretzels is $1.35. write a system of equations to represent this situation. solve and explain what the answer means

        1. 2w + 3p = 7.05

        2. p = 1.35

         w = 1.50

         p = 1.35

Explanation

1) Translate the verbal language to algegraic language to create the equations which you can solve.

         w = cost of one bottle of water

         p = cost of one bag of pretzels

        the cost of 2 bottles of water: 2w

        the cost of 3 bags of pretzels: 3p

        the cost of 2 bottles of water and 3 bags of pretzels is $7.05:

                   2w + 3p = 7.05    Equation 1

         the cost of a bag of pretzels is $ 1.35: p = 1.35    Equation 2

        1. 2w + 3p = 7.05

        2. p = 1.35

2) Solve the system using substitution method: substitute p with 1.35 in the first equation:

3) Steps to solve the equation:

you have found the costs of both a bottle of water and a bag of pretzels, which, repectively, are $ 1.50 and $ 1.35

x= -3

step-by-step explanation:

step 1: simplify brackets

4 - x - 1 = 6

step 2: simpilfy

3 - x = 6

step 3: subtract 3 from both sides

-x = 6 - 3

step 4: simpilfy 6 - 3

-x = 3

step 5: multiply both sides by -1

x = -3

70.30

step-by-step explanation: