Part A:
8x + 2(x − 7) = 7x + 3x − 14
8x + 2x - 14 = 10x - 14
10x - 14 = 10x - 14
0 = 0
Since 0 = 0 is a true statement, this equation has infinitely many solutions.
Part B:
One property used to solve this equation is the distributive property: a(b + c) = ab + ac. This property was used when distributing the 2 to both terms inside the parentheses on the left side of the equation.
An equation is shown below:
8x + 2(x − 7) = 7x + 3x − 14
Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)
Part B: Name one property you used to solve this equation. (4 points)
1 answer