Equations with the first degree having two different variables in it are called as linear equations in two variables. The standard form of representing a linear equation in two variables is:
ax + by = c
Where: a and b ≠ 0
a, b and c are real numbers and are known as the coefficients of the variables.
The solution of the simultaneous linear equations is the ordered pair (x, y) that satisfies both the linear equations. The two linear equations in two variables taken together are called simultaneous linear equations.
For example: Let us assume two linear equations in two variables, x and y:
2x – 3y = 4
3x + y = 1
Here we have two equations and two unknowns. Both unknown numbers x and y have to satisfy both the equations in order to find the solution. Hence, we call this system or pair of equations or simultaneous equations.
Practice problems on Simultaneous Linear Equations through solved RD Sharma solutions to have a better understanding of the topic.
Solution of Simultaneous Linear Equations Class 12th RD Sharma Exercises