Answer:
[tex]3x-4y[/tex]
Step-by-step explanation:
[tex]2x+x-4y[/tex]
If a term doesn't have a coefficient , it is considered that the coefficient is 1
[tex]2x+1x-4y[/tex]
Why is it considered that the coefficient is 1?
Remember that any term multiplied by 1 remains the same:
[tex]1.x=x[/tex]
Step 1
The equality can be read in the other way as well , so any term can be written as a product of 1 and itself:
[tex]x=1 . X \\[/tex]
Step 2
Usually, we don't need to write multiplication sign between the coefficient and the variable , so the simpler form is:
[tex]x=1x[/tex]
That is why we can write the term without the coefficient as a term with coefficient 1.
Let's go back to your problem now
Collect like terms by adding their coefficients
[tex](2+1)x-4y[/tex]
Add the numbers
[tex]3x-4y[/tex]
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