Question

solve the following linear equations and verify your answer
(i) 3(x+7)=18
(ii) 2(x-1)=x+2​

Answer 1

(i) 3(x+7)=18

⇒ 3x+21=18

⇒ 3x=18−21⇒ 3x=−3⇒ x=

3

−3

⇒ x=−1

Verification

⇒ 3(x+7)=18⇒3(−1+7)=18⇒3(6)=18

⇒ 18=18

(ii) 2(x−1)=x+2

⇒ 2x−2=x+2

⇒ 2x−x=2+2

⇒ x=4

Verification

⇒ 2(x−1)=x+2

⇒ 2(4−1)=4+2

⇒ 2(3)=6⇒6=6