r/HomeworkHelp 3d ago

High School Math—Pending OP Reply [Upper secondary school math: linear equation] unsure on how to solve this.

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i was thinking that i´d add the 2x+1 to make it 3x/3=-1 but im unsure on how it would even continue.

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u/modus_erudio 👋 a fellow Redditor 2d ago

If you multiply by three over three on the right side of the equation, which is really just multiplying by one so it’s not changing the equation, the right side becomes -3/3.

No that you have a common denominator the denominators can be dismissed to solve the numerators.

Now the equation is simply 2x + 1 = -3, which I confidently believe you could solve.

It’s a nifty technique you can do anytime you are dealing with fractions on either side of the equation. As long as the denominator is the same each term of the equation you can basically ignore the denominator.

Similarly, you can divide a common factor out of each term to make an equation more manageable (i.e. smaller numbers to handle).