Solve x - 2y = 0; 3x + 4y = 20.

Linear equations in two variables are in the standard form of ax + by + c = 0 where a, b ≠ 0.

Answer: The solution to x-2y=0; 3x+4y=20 is, x = 4 and y = 2.

Let us solve step by step to find the solution of the given system of equations.

Explanation:

We will be using the elimination method to solve for x and y.

To solve linear equations with two variables, we will first write them in standard form.

Let, x - 2y = 0 ---(1)

3x + 4y = 20 ---(2)

By multiplying equation (1) with 2, we get

⇒ 2x - 4y = 0 ---(3)

On adding equations (2) and (3), we will get,

⇒ x = 20/5

⇒ x = 4

By substituting the value of x = 4 in equation (1), we get

⇒ 4 - 2y = 0

⇒ 2y = 4

⇒ y = 2

Thus, the value of x is 4, and the value of y is 2.