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The solutions are
and
.
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First off, let’s solve the equation step by step!
Starting with the first equation
:
- Distribute:
- Left side:
- Right side:
- Left side:
So, we have:
- Add
to both sides:
- Add 12 to both sides:
- Divide by 7:
Now, for the second equation,
:
- Subtract
from both sides:
- Subtract 2 from both sides:
Now you have two solutions:
from the first equation and
from the second! Each equation gives you a different solution. Splitting up can sometimes lead to some interesting surprises!
Now, as for useful tips and insights:
When solving linear equations, always remember to keep your operations balanced: whatever you do to one side, do to the other! Also, double-check your distributions and combine like terms carefully; errors often sneak in here!
When solving linear equations, always remember to keep your operations balanced: whatever you do to one side, do to the other! Also, double-check your distributions and combine like terms carefully; errors often sneak in here!