Answer:
Equation 1) x=3
Equation 2) b=7
Equation 3) y=-2
Equation 4) c=-3
Explanation:
#1: 1/4x+5/3x-4=2-1/12x
1) Combine Alike terms:
23/12x-4=2-1/12x
2) Add 1/12x to both sides:
2x-4=2
3) Add 4 to both sides:
2x=6
4) Divide both sides by 2:
x=3
#2: 3.2b-4.7=3b-3.3
1) Add 4.7 to both sides:
3.2b=3b+1.4
2) Subtract 3b from both sides:
0.2b=1.4
3) Divide both sides by 0.2:
b=7
#3: 4.6y-y+4=y-1.2
1) Combine alike terms:
3.6y+4=y-1.2
2) Subtract y from both sides:
2.6y+4=-1.2
3) Subtract 4 from both sides:
2.6y=-5.2
4) Divide both sides by 2.6:
y=-2
#4: 7.5c-2.5c+8=-7
1) Combine alike terms:
5c+8=-7
2) Subtract 8 from both sides:
5c=-15
3) Divide both sides by 5:
c=-3