Yes! When using the elimination method, if you multiply one equation by a number, you should do the same to the other equation to make calculations easier.

Your system is:
$0.6x - 0.3y = 2.4$ $-0.4x + 0.7y - 2.9 = 0$

You multiplied the top equation by 10: $(10) \cdot (0.6x - 0.3y) = (10) \cdot (2.4)$ $6x - 3y = 24$

Now, apply the same to the bottom: $(10) \cdot (-0.4x + 0.7y - 2.9) = (10) \cdot (0)$ $-4x + 7y - 29 = 0$ or rewritten as: $-4x + 7y = 29$

Now you have: $6x - 3y = 24$ $-4x + 7y = 29$

At this point, you can multiply one or both equations further to align coefficients for elimination. Would you like help choosing the next step?

Related Questions:

1. How do you determine the best variable to eliminate?
2. Can you use substitution instead of elimination for this system?
3. What happens if the system has no solution or infinitely many solutions?
4. What is the geometric interpretation of solving this system?
5. How does elimination compare to the matrix method?

Tip:

Always check for arithmetic errors when multiplying equations—small mistakes can change the whole solution!