Zero Solutions: 9x + 7
One Solution: 16x + 15
Infinitely Many Solutions: 9x + 16
One Solution
Infinitely Many Solutions
Drag and Drop the Answer
:: 9x + 7
:: 9x + 16
:: 16x + 15
One Solution: 16x + 15
Infinitely Many Solutions: 9x + 16
For the equation 9x + 7, the coefficient of x is 9.
For the equation 9x + 16, the coefficient of x is also 9.
For the equation 16x + 15, the coefficient of x is 16.
Now, let's determine the number of solutions for each equation based on the coefficient of x:
- If the coefficient of x is different in each equation, then the system has one solution.
- If the coefficients of x in both equations are the same, then the system has infinitely many solutions.
- If the coefficients of x are equal in both equations, and the constants (the numbers without any variable) are also equal, then the system has infinitely many solutions.
So, let's match the equations with the corresponding number of solutions:
9x + 7 --> One Solution
9x + 16 --> One Solution
16x + 15 --> One Solution
Therefore, the correct match is:
:: 9x + 7 --> One Solution
:: 9x + 16 --> One Solution
:: 16x + 15 --> One Solution
Let's go through each equation:
1. 9x + 7
In this equation, the coefficient of x is 9. Since the coefficient is non-zero, there is only one solution.
2. 9x + 16
In this equation, the coefficient of x is 9. Again, since the coefficient is non-zero, there is only one solution.
3. 16x + 15
In this equation, the coefficient of x is 16. Once again, since the coefficient is non-zero, there is only one solution.
Based on our analysis, the correct classifications for the number of solutions for each equation are:
- 9x + 7: One Solution
- 9x + 16: One Solution
- 16x + 15: One Solution