if x=a y=b is the solution of the equation x+y=5 and 2x-3y=4 then the value of a and b are
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given:
x=a , y=b
x+y=5 ____I
2x-3y= 4 _____ II
multiply equation I by 3
therefore, 3x+3y= 15 _____ III
add equation II and III
3x+3y=15
+
2x-3y=4
_________
5x= 19
therefore ,x =19/5
substitute x=19/5 in equation I
19/5+y=5
therefore ,y=5-19/5
y=6/5
x=a=19/5 y =b= 6/5
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