Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

when solving the equation 4(3x+2)-9=8x+7, Emily wrote 4 (3x+2)=8x+16 as her first step. which property justifies Emily first step?

1)commutative property of addition
2)addition property of equality
3)multiplication property of equality
4)distributive property of multiplication over addition


Sagot :

    4(3x + 2) - 9 = 8x + 7
4(3x) + 4(2) - 9 = 8x + 7
      12x + 8 - 9 = 8x + 7
            12x - 1 = 8x + 7
            - 8x       - 8x      
               4x - 1 = 7
                   + 1 + 1
                     4x = 8
                      4     4
                       x = 2

The property that justifies Emily's first step is the addition property of equality (2).