Linear Equations in One Variable
Consider the equation 7x − 6 + 3 = 5x + 2x + 5.
Question 1
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
The equation 7x - 6 + 3 = 5x + 2x + 5 can be simplified to 7x - 3 = 7x + 5.
If we subtract 7x from both sides, we get -3 = 5, which is not true.
Therefore, there is no value of x that satisfies the equation.
The correct answer is D) no solution.