Question

2. Solve the following linear equations. i) 3(t-3) = 5(2t - 1) ii) 8 (x – 3)-( 6-2x) = 2(x + 2) - 5(5 - x)​

Answer 1

Explanation:

1)Answer

Given, 3(t−3)=5(2t−1)

⟹ 3t−9=10t−5 ...[By Distribution Law]

⟹ 5−9=10t−3t ...[Transposing t terms to one side]

⟹ 7t=−4

⟹ t=

7

−4

.

2)Given, 8(x−3)−(6−2x)=2(x+2)−5(5−x)

8x−24−6+2x=2x+4−25+5x ...[By Distribution Law]

10x−30=7x−21 ...[On simplifying]

10x−7x=30−21 ...[Transposing x terms to one side]

3x=9

⟹ x=3.