Explanation

3x - 15 - 6 = 0 → 3x - 21 = 0 → 3x = 21 → x = 7  

Explanation

Let's solve for y:

3y/2 + 3/6 = 14

3y/2 + 1/2 = 14

(3y + 1)/2 = 14

3y + 1 = 28

3y = 27

y = 9

Explanation

In a proportion, cross-multiply:  

4 × 16 = 8 × x  

64 = 8x  

Divide both sides by 8:  

x = 64 / 8  

x = 8

Explanation

a² − b² = 9  

But we can also write:

a² − b² = (a + b)(a − b) = 9  

And  

(a − b)² = 3 → so (a − b) = √3 or −√3

Let’s assume:  

a − b = √3

Then:  

From (a + b)(a − b) = 9  

⇒ (a + b)(√3) = 9  

⇒ a + b = 9 / √3 = 3√3

Now, we have:  

a + b = 3√3  

a − b = √3

Now solve the system:

Adding:  

2a = 4√3 → a = 2√3  

Subtracting:  

2b = 2√3 → b = √3

Now, ab = a × b = 2√3 × √3 = 2 × 3 = 6

Explanation

Given:  

x = 5, y = 2

Expression:  

2x + 3y = 2(5) + 3(2) = 10 + 6 = 16

Explanation

Any number multiplied by 0 equals 0.

So,

6 × 4 × 0 × 100 × 0.34 = 0

Explanation

Given:  

x = 5, y = 2  

Now calculate:  

2x + 3y = 2(5) + 3(2) = 10 + 6 = 16

Explanation

Expression: 3(4 + 3) – (4 + 5)  

= 3(7) – 9  

= 21 – 9  

= 12

Explanation

5y/2 + 20/40 = 8

5y/2 + 1/2 = 8

5y/2 = 8 - 1/2

5y/2 = 7.5

5y = 15

y = 3

Explanation

(x + x²) / 2 = 5x

Multiply both sides by 2:

x + x² = 10x  

x² - 9x = 0  

x(x - 9) = 0  

So, x = 0 or x = 9