please answer :-)......
Answers
Answer:
1)2y+1/3=0
Multiply each term by 3
2y×3+1/3×3=0
6y+1=0
6y=(-1)
y=(-1)/6
Verification:
2y+1/3=0
2(-1/6)+1/3=0
(-1)/3+1/3=0
(-1)+1/3=0
0/3=0
0=0
L.H.S.=R.H.S.
Hence verified
2)2/3x+1/3=0
2x+1/3=0
2x+1=0×3
2x+1=0
2x=(-1)
x=(-1)/2
Verification:
2/3(-1/2)+1/3=0
(-1)/3+1/3=0
(-1)+1/3=0
0/3=0
0=0
L.H.S.=R.H.S
Hence verified
3)m+1/2=7/2
2m+1/2=7/2
Cross multiply
2(2m+1)=2(7)
4m+2=14
4m=14-2
4m=12
m=12/4
m=3
Verification:
3+1/2=7/2
6+1/2=7/2
7/2=7/2
L.H.S.=R.H.S
Hence verified
4)9¼=p-1⅓
37/4=p-4/3
p=37/4+4/3
p=111+16/12
p=127/12
Verification:
9¼=127/12-1⅓
37/4=127/12-4/3
37/4=127-16/12
37/4=111/12
37/4=37/4
L.H.S.=R.H.S
Hence verified
5)x+x/2+x/3+x/4=25/12
12x+6x+4x+3x/12=25/12
25x/12=25/12
Cross multiply
12(25x)=12(25)
300x=300
x=300/300
x=1
Verification:
1+1/2+1/3+1/4=25/12
12+6+4+3/12=25/12
25/12=25/12
L.H.S.=R.H.S
Hence verified