Question

Consider the equation 7x − 6 + 3 = 5x + 2x + 5.

Which BEST describes the number of solutions for the given equation?
Responses
A one solutionone solution
B two solutionstwo solutions
C infinitely many solutionsinfinitely many solutions
D no solution

Answer 1

To determine the number of solutions for the given equation, we can simplify both sides of the equation.

Starting with the left side of the equation:
7x - 6 + 3 = 7x - 3

Simplifying the right side of the equation:
5x + 2x + 5 = 7x + 5

Now, we can rewrite the equation as:
7x - 3 = 7x + 5

If we subtract 7x from both sides, we get:
-3 = 5

Since the equation -3 = 5 is not true, there is no solution to the given equation.

Therefore, the correct answer is D) no solution.