Simultaneous Linear Equations

Consider  two linear equations in two variables x and y, 2x-y=3, 3x+2y=8
then we call these equations are simultaneous linear equations.

How to solve Simltaneous Linear Equation?

There are different methods to to find solution

1.Method of substitution

consider two equations   2x-y=3 and 3x+2y=8

2x-y=3..............(1)
3x+2y=8...........(2)

from equation (1),  y=2x-3...........(3)

substitute this in 2nd equation, 3x+2y=8

3x+2(2x-3) = 8

3x+4x-6 =8

7x=8+6

7x=14

x=14/7

x=2

From equation (3),  y=2x-3

y=2×2 - 3

y=4-3

y=1

x=2, y=1 is the solution

Question
Solve the equations x-y=2, x-3y=12