How much is 2x +y greater than x-2y
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Given data:
Two terms 2x + y and x - 2y
To find:
How much is 2x + y greater than x - 2y
Step-by-step explanation:
Let, A = 2x + y and B = x - 2y
To find by how much A is greater than B, we simply subtract B from A.
Then A - B
= (2x + y) - (x - 2y)
= 2x + y - x + 2y
- Remember the rules for multiplication of signs:
- ( + ) × ( + ) = ( + )
- ( + ) × ( - ) = ( - )
- ( - ) × ( + ) = ( - )
- ( - ) × ( - ) = ( + )
= 2x - x + y + 2y
- Simply rearrange the terms by its variables.
= (2 - 1) x + (1 + 2) y
= (1) x + (3) y
= x + 3y
Final answer: x + 3y
2x + y is greater than x - 2y by x + 3y.
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