An equation is shown below:
8.3x + 2.7(x − 7) = 7x + 4x − 18.9
Part A: Solve the equation and write the number of solutions. Show all calculations.
Part B: Name a property used to solve this equation.
Part A:
8.3x + 2.7(x − 7) = 7x + 4x − 18.9
8.3x + 2.7x - 18.9 = 7x + 4x - 18.9
11x - 18.9 = 11x - 18.9
0 = 0
There are infinite solutions for this equation.
Part B:
The property used to solve this equation is the Distributive Property, where we distribute the 2.7 to both terms inside the parentheses.