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
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