Explanation:
1a) A + 3A - A = 84
a+3a−a=84
Step 1: Simplify both sides of the equation.
a+3a−a=84
a+3a+−a=84
(a+3a+−a)=84(Combine Like Terms)
3a=84
3a=84
Step 2: Divide both sides by 3.
3a/3 = 84/3
a=28
1b) A - 2B + 5B = 59
28−2b+5b=59
Step 1: Simplify both sides of the equation.
28−2b+5b=59
28+−2b+5b=59
(−2b+5b)+(28)=59(Combine Like Terms)
3b+28=59
3b+28=59
Step 2: Subtract 28 from both sides.
3b+28−28=59−28
3b=31
Step 3: Divide both sides by 3.
3b/3 = 31/3
b=31/3 = 10.3
1c) B - C + 4c = 76
31/3−c+4c=76
Step 1: Simplify both sides of the equation.
31/3−c+4c=76
31/3+−c+4c=76
(−c+4c)+(31/3)=76(Combine Like Terms)
3c+31/3=76
3c+31/3=76
Step 2: Subtract 31/3 from both sides.
3c+31/3−31/3=76−31/3
3c=197/3
Step 3: Divide both sides by 3.
3c/3=197/3/3
c=197/9 = 21.9
1d) A + B + C
= 28+31/3+197/9
=115/3+197/9
=542/9 = 60.2