To find the value of x given the equations 12y = 210 and 6y = 90, we can solve for y in both equations and then relate them to x.
First, let’s start with the first equation:
1. Solve for y from the first equation:
- Given: 12y = 210
- To isolate y, divide both sides by 12:
- y = 210 / 12
- When you calculate this, y = 17.5.
2. Now, solve for y from the second equation:
- Given: 6y = 90
- Dividing both sides by 6, we get:
- y = 90 / 6
- Calculating this gives us y = 15.
3. Verify if the values of y we found are consistent:
From the first equation, we found y = 17.5, and from the second, y = 15. Since these values do not match, it suggests there’s an error in assumptions, or x may need a specific context since we have only solved for y.
4. Relating x to y:
Since we don’t have direct equations for x, if we assume both equations are meant to provide unique values of x, we can define x in terms of equations possibly. If we assumed both equations termed in similar variable relationships, we might need additional data.
Nonetheless, if the aim is just to generate x solely based on y, we could explore membership in those dimensions— otherwise, having both equations should ideally depict the same constraints.
Based on an inequality or further system of equations, the unique solution correlating to x might be calculated, and thus proves the necessity of context in these relationships.