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Learn Exercise 2.3 with Free Lessons & Tips

Solve and check result: 3x = 2x + 18

3x = 2x + 18

On transposing 2x to L.H.S, we obtain

3x − 2x = 18

x = 18

L.H.S = 3x = 3 × 18 = 54

R.H.S = 2x + 18 = 2 × 18 + 18 = 36 + 18 = 54

L.H.S. = R.H.S.

Hence, the result obtained above is correct.

Comments

Solve and check result: 5t − 3 = 3t − 5

5t − 3 = 3t − 5

On transposing 3t to L.H.S and −3 to R.H.S, we obtain

5t − 3t = −5 − (−3)

2t = −2

On dividing both sides by 2, we obtain

t = −1

L.H.S = 5t − 3 = 5 × (−1) − 3 = −8

R.H.S = 3t − 5 = 3 × (−1) − 5 = − 3 − 5 = −8

L.H.S. = R.H.S.

Hence, the result obtained above is correct.

Comments

Solve and check result: 5x + 9 = 5 + 3x

5x+9=5+3x,

Now grouping of variable and constant values

5x-3x=5-9,

2x=-4,

x=-4/2

x=-2

Comments

Solve and check result: 4z + 3 = 6 + 2z

4z + 3 = 6 + 2z

On transposing 2z to L.H.S and 3 to R.H.S, we obtain

4z − 2z = 6 − 3

2z = 3

Dividing both sides by 2, we obtain

L.H.S = 4z + 3 = 4 × + 3 = 6 + 3 = 9

R.H.S = 6 + 2z = 6 + 2 × = 6 + 3 = 9

L.H.S. = R.H.S.

Hence, the result obtained above is correct.

Comments

Solve and check result: 2x − 1 = 14 − x

2x-1=14-x

2x+x=14+1

3x=15

x=15/3

x=5

to check given equation,

LHS=2*5-1=10-1=9

RHS=14-5=9

LHS=RHS hence checked

Comments

Solve and check result: 8x + 4 = 3(x − 1) + 7

8x+4=3(x-1)+7

8x+4=3x-3+7

8x+4=3x+4

8x-3x=4-4=0

x=0

to check given equation,

LHS=8x+4=8*0+4=4

RHS=3(x-1)+7=3(0-1)+7=-3+7=4

LHS=RHS

Comments

Solve and check result: 

x=4/5 * (x+10) .............(1)

cross multiplying,

5x=4(x+10)

5x=4x+4*10

5x=4x+40

5x-4x=40

x=40 is the solution.

to check given equation , substutute x=40 in(1)

LHS=x=40

RHS=4/5*(x+10)=4/5 * (40+10)= 4/5*50=4*10=40

LHS=RHS

 

 

Comments

Solve and check result: 

Transposing to L.H.S and 1 to R.H.S, we obtain

Multiplying both sides by 5, we obtain

x = 10

L.H.S = =

R.H.S =

L.H.S. = R.H.S.

Hence, the result obtained above is correct.

Comments

Solve and check result: 

Transposing y to L.H.S and to R.H.S, we obtain

Dividing both sides by 3, we obtain

L.H.S =

R.H.S =

L.H.S. = R.H.S.

Hence, the result obtained above is correct.

Comments

Solve and check result: 

  ................(1)

5m-3m=8/5

2m=8/5

m=8/10=4/5

substituting m=4/5 in (1)

LHS=3m=3*4/5=12/5

RHS=5m-8/5=5*4/5-8/5=20/5-8/5=(20-8)/5=12/5

LHS=RHS

m=4/5 satisfying (1)

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