Solve the following linear equation and check your answer. 6(x– 3) = 10(2x+ 1)
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Answer:
(i)5x−2=18
⇒5x=20
⇒
k=4
check:
LHS⇒5(4)−2=18=RHS
∴
x=4
(ii)
4
1
y+
2
1
=5
y+2=20
⇒
y=18
Check:
LHS⇒
4
1
(18)+
2
1
⇒
4
18+2
⇒5=RHS
∴
y=18
(iii)3x+
5
1
=2−x
4x=2−
5
1
4x=
5
9
x=
20
9
check:
LHS⇒3x+
5
1
=3(
20
9
)+
5
1
⇒
20
31
⇒2−
20
9
=RHS
⇒
x=
20
9
(iv)8x+5=6x−5
2x=−10
x=−5
check:
LHS⇒8x+5⇒8(−5)+5
⇒−35⇒6(−5)−5
⇒RHS
⇒
x=−5
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