Explanation

Explanation

We are given two equations:

Let:

• Cost of one apple = x

• Cost of one orange = y

From the problem:

1. $4x + 2y = 30$
   

2. $$x+3y=15

   
   Step 1: Solve the system of equations

Equation (1):
$4x + 2y = 30$
Divide the whole equation by 2:
→ $2x + y = 15$→ (3)

Equation (2):
$x + 3y = 15$ → (2)

Step 2: Solve equations (2) and (3)

From (3):
$y = 15 - 2x$ → (4)

Substitute (4) into (2):
$x + 3(15 - 2x) = 15$
$x + 45 - 6x = 15$
$-5x+45=15$
$-5x=15-45=-30$
$$x=−30−5=6

Explanation

"Absorbed" fits the context of being deeply involved or preoccupied with one's own life.

"Care" fits naturally with the idea of not thinking much about others' troubles.

Explanation

The sentence has two independent clauses: "He is an orator" and "He is a philosopher," joined by the correlative conjunction "not only... but also."

Compound sentences join independent clauses using coordinating or correlative conjunctions.

Explanation

Iron is a magnetic material that can absorb and redirect magnetic field lines.

It shields precision instruments from external magnetic interference that could affect their accuracy.

Explanation

Let's solve:

3 men = 6 boys (given)

1 man = 2 boys

Work done by 3 men or 6 boys in 20 days:

Let's calculate work done by 1 boy in 1 day:

6 boys * 20 days = 120 boy-days

Now, 6 men and 8 boys:

6 men = 6 * 2 = 12 boys

Total = 12 boys + 8 boys = 20 boys

Time taken = 120 boy-days / 20 boys = 6 days

Explanation

Hamid Karzai was appointed as the interim president of Afghanistan in December 2001 after the fall of the Taliban.

He was later elected as President in 2004.

Explanation

"I hope to get a better job."

After the verb "hope", we use the infinitive form of the verb: "to get".

This structure expresses a desire or expectation for something to happen in the future.

Explanation

Ibrahim Mohamed Solih won the Maldives presidential election held on 24th September 2018, defeating incumbent President Abdulla Yameen.

He was the joint opposition candidate.

He was officially took office on 17 November 2018.

Explanation