Question

what should be subtracted from 2a + 8b + 10 to get - 3a + 7b + 16

Answer 1

Given: Two terms 2a + 8b + 10 to get - 3a + 7b + 16

To find: What should be subtracted from 2a + 8b + 10 to get - 3a + 7b + 16

Solution:

• Now we have given two terms:

              2a + 8b + 10 to get - 3a + 7b + 16

• Let the subtracted term be x, then:

              2a + 8b + 10 - x = - 3a + 7b + 16

• Now taking like terms on one side, we get:

              x = 2a + 8b + 10 + 3a - 7b - 16

• Now solving it, we get:

              x =  5a + b - 6

Answer:

           So the term which needs to be subtracted is 5a + b - 6.

Answer 2

Answer:

5a +b -6 should be subtracted from 2a+8b+10 to get -3a+7b+16

Explanation:

Let X be subtracted from 2a +8b +10, it can be written as

       2a +8b +10 -X = -3a +7b+16

  ⇒ -X = -3a +7b +16 -2a -8b -10

  ⇒ -X = -3a -2a +7b -8b +16 -10

  ⇒ -X = -5a -b +6

      After divide by (-) to both side

      X = 5a +b -6