Explanation

Given the equation: 8x - 3y = 24

Substitute y = 0:

8x - 3(0) = 24 → 8x = 24

Solve for x:

x = 24 ÷ 8 = 3

Explanation

To find the value of X, substitute Y = 5 into the equation Y = 3X + 12:

5 = 3X + 12

Subtract 12 from both sides:

-7 = 3X

Divide both sides by 3:

-7/3 = X

So, the value of X is -7/3!

Explanation

Let's simplify the expression:

√3 × √5 × √15

= √(3 × 5 × 15)

= √(225)

= 15

Explanation

Given x < 0 and y < z:

When multiplying both sides of y < z by x, the inequality sign flips because x is negative:

xy > xz

Explanation

Given x³ = 64:

x = ∛64 = 4 (since 4³ = 64)

The question seems to be asking for the value of x.

The correct answer is 4.

Explanation

To solve for x:

x/2 + 1 = 15

Subtract 1 from both sides:

x/2 = 14

Multiply both sides by 2:

x = 28

Explanation

Let's solve the equations:

1. x + y = 5

2. x - y = 3

Add both equations:

2x = 8

x = 4

Now, substitute x = 4 in equation (1):

4 + y = 5

y = 1

The solution is (4, 1).

Explanation

A fraction of the form P(x)/Q(x), where both P(x) and Q(x) are polynomials and Q(x) ≠ 0, is called a rational function.

This is because it represents the ratio of two polynomials, which defines a rational expression.

Explanation

Let's say the two numbers are x and y.

Given:

x + y = 24 ... (1)

x - y = 6 ... (2)

Adding (1) and (2):

2x = 30

x = 15

Substituting x in (1):

15 + y = 24

y = 9

The numbers are 15 and 9.

Explanation

Using the change of base formula:

log_b^a / log_b^d = log_d^a