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

An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values.

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

The equation involves two variables and their degree is 1 and hence it's called Linear Equation in two variables.

**Explanation:**

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

Multiply the equation x - 2y = 0 by 2 to make the coefficients of y equal in both the equations

=> 2x - 4y = 0.

Now add the equation 2x - 4y = 0 with 3x + 4y = 20 and simplify to calculate the value of 'x'.

3x + 4y = 20

2x - 4y = 0

____________

5x + 0y = 20

5x = 20

x = 4

Now, substitute x = 4 in the equation x - 2y = 0 and calculate the value of y

4 - 2y = 0

=> 2 y = 4

=> y = 2