Question

from the sum of 2x-y+7 and 2y-10,subracted 4x-2y-11​

Answer 1

Answer:

-2x-y-14

Step-by-step explanation:

first we add and then subtract

Answer 2

Answer:

- 2x + 3y + 8

Step-by-step explanation:

From the sum of 2x-y+7 and 2y-10, subracted 4x-2y-11. Here in this question, first we will add both the algebraic expressions i.e, 2x-y+7 and 2y-10, and then subtract 4x-2y-11 from their sum.

Addition of algebraic expression:

• The sum of two or more like terms is a like term whose coefficient is the sum of coefficient of the like terms.

Method:

Write all the expressions to be added in a horizontal line and then group like terms together take special care of sign and carry out the addition.

• ( 2x-y+7 ) + ( 2y-10 )

Now, group the like terms together,

• ( 2x ) + ( - y + 2y ) + ( 7 - 10 )

Just take out coefficient and do operations respective to their signs.

• ( 2x ) + ( - 1 + 2 )y + ( 7 - 10 )

• 2x + y + ( - 3 )

• 2x + y - 3

Now subtract 4x - 2y- 11 from their sum ( 2x + y - 3 ).

Change the sign of each term of expression to be subtracted and then add we may use either column or horizontal method.

• 2x + y - 3 - ( 4x - 2y- 11 )

• 2x + y - 3 - 4x + 2y + 11

Again group the like terms together,

• 2x - 4x + y + 2y - 3 + 11

• x ( 2 - 4 ) + y ( 1 + 2 ) ( - 3 + 11 )

• - 2x + 3y + 8

∴ Answer = - 2x + 3y + 8

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