#B3641. Solve a System of Two Linear Equations
Solve a System of Two Linear Equations
Solve a System of Two Linear Equations
You are given a system of two linear equations in the form \( ax+by=c \), where \( a \), \( b \), and \( c \) are integers (they may be negative) and the solution \( (x, y) \) consists of integers. Note that coefficients of 1 or -1 might be omitted (for example, x-y=-1
means \( 1x - 1y = -1 \)).
Your task is to find the unique solution of the given system.
Example:
-2x+3y=4 x-y=-1
The correct solution is \( x=1, y=2 \).
inputFormat
The input consists of two lines. Each line represents a linear equation in the form \( ax+by=c \). The coefficients \( a \), \( b \), and \( c \) are integers and may be negative. Note that if the coefficient is 1 or -1, it might be omitted (for example, x-y=-1
represents \( 1x-1y=-1 \)).
outputFormat
Output two integers \( x \) and \( y \), separated by a space, which are the solutions of the given system.
sample
-2x+3y=4
x-y=-1
1 2