Question

Exercise 4.1 Solve the following equations and check your answers in each case. 3. 5x - 6 = 4x-2​

Answer 1

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

Answer 2

5x - 6 = 4x - 2

5x - 4x = -2 + 6

x = 4