Question

Solve each of the following equations and check your answers:

1. x – 3 = 5
2. x – (3/5) = (7/5)

3. 3x = 0​

Answer 1

Answer:

1. x-3=5

x=5+3

x=8

Check: 8-3=5=5

L.H.S=R.H.S

2. x- ⅗= 7/5

x = 7/5+3/5

x=10/5=2

Check: 2-⅗=10-3/5=7/5

L.H.S = R.H.S

3. 3x=0

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Step-by-step explanation:

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Answer 2

Solve each of the following equations and check your answers :

$\sf{1).x - 3 = 5}$

Given,x - 3 = 5

Adding 3 to both sides we get,

x - 3 + 3 = 5 + 3

x = 8

Verification

Substituting x = 8 in LHS,We get

LHS = x - 3 and RHS = 5

LHS = 8 - 3 = 5 and RHS = 5

LHS = RHS

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\underline{\textsf{\textbf{Hence, \: Verified}}}}$

$\sf{2).x - (3/5)=(7/5)}$

Given,x - (3/5) = (7/5)

Add (3/5) to both sides,

x - (3/5) + (3/5) = (7/5) + (3/5)

x = (7/5) + (3/5)

x = (10/5)

x = 2

Verification

Substitute x = 2 in LHS of given equation,then We get

2 - (3/5) = (7/5)

(10 - 3)/5 = (7/5)

(7/5) = (7/5)

LHS = RHS

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\underline{\textsf{\textbf{Hence, \: Verified}}}}$

$\sf{3).3x = 0}$

Given, 3x = 0

On dividing both sides by 3 We get,

(3x/3) = (0/3)

x = 0

Verification

Substituting x = 0 in LHS We get

3(0) = 0

And RHS = 0

Therefore,

LHS = RHS

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\underline{\textsf{\textbf{Hence, \: Verified}}}}$