Question

subtract the sum of a + 2b-3c and 2c-3b -4a from the sum of 5b-4c+a and 2c-3b-4a

Answer 1

Sum of a+2b-3c and 2c-3b-4a = a+2b-3c + 2c-3b-4a
= -3a-b-c ____eq. 1

Sum of 5b-4c+a and 2c-3b-4a
= 5b-4c+a+2c-3b-4a
= -3a+2b-2c ______eq 2

According to question, eq2-eq1
=> (-3a+2b-2c) -(-3a-b-c)
=> -3a+2b-2c+3a+b+c
=> 3b-c


Hope this answer is helpful for you...........

Answer 2

$<u>Sum of ( a + 2b - 3c ) and ( 2c - 3b - 4a )</u>$

= a + 2b - 3c + 2c - 3b - 4a

Combine like terms

= a - 4a + 2b - 3b - 3c + 2c

= $<b>- 3a - b - c</b>$

$<u>Sum of ( 5b - 4c + a ) and ( 2c - 3b - 4a )</u>$

= 5b - 4c + a + 2c - 3b - 4a

Combine like terms

= a - 4a + 5b - 3b - 4c + 2c

= $<b>- 3a + 2b - 2c</b>$

$<u>Subtraction of ( - 3a - b - c ) from ( - 3a + 2b - 2c )</u>$

= ( - 3a + 2b - 2c ) - ( - 3a - b - c )

= - 3a + 2b - 2c + 3a + b + c

Combine like terms

= - 3a + 3a +2b + b - 2c - c

= $<b><u><i>3b - c</b></i></u>$