Question 4:
Solve the following linear equations.
(a)11+2x3=9(b)x−53=x6
Solution:
(a)11+2x3=92x3=9−112x3=−22x=−6x=−62x=−3
(b)x−53=x66(x−5)=3x6x−30=3x6x−3x=303x=30x=10
Question 5:
Solve the following linear equations.
(a) 4(2x−3)=24(b)y2−y+43=5
Solution:
(a) 4(2x−3)=248x−12=248x=24+128x=36x=368x=412
(b)y2−y+43=5y×32×3−2(y+4)3×2=53y−2(y+4)6=53y−2y−8=30y=30+8y=38
Question 6:
Solve each of the following equations:
(a) 5a−16=a(b) 6+23(−9p+12)=p
Solution:
(a)
5a−16=a5a−a=164a=16a=4
(b)
6+23(−9p+12)=p6−6p+8=p−6p−p=−8−6−7p=−14p=2
Solve each of the following equations:
(a) 5a−16=a(b) 6+23(−9p+12)=p
Solution:
(a)
5a−16=a5a−a=164a=16a=4
(b)
6+23(−9p+12)=p6−6p+8=p−6p−p=−8−6−7p=−14p=2