Example1. Solve linear equations x+y=2 and 2x+3y=4 using Substitution Method
Solution: x+y=2
and 2x+3y=4
Suppose, x+y=2 ->(1)
and 2x+3y=4 ->(2)
Taking equation (1), we have
x+y=2
=>x=-y+2 ->(3)
Putting x=-y+2 in equation (2), we get
2x+3y=4
2(-y+2)+3y=4
=>-2y+4+3y=4
=>y+4=4
=>y=4-4
=>y=0
=>y=0 ->(4)
Now, Putting y=0 in equation (3), we get
x=-y+2
=>x=-1(0)+2
=>x=0+2
=>x=2
:.x=2" and "y=0
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