if x=a , y=b is the solution of the equation x+y=5 and 2x - 3y = 4, then the values of a and b are respectively :
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Answer:
a = 19/5 and b = 6/5
Step-by-step explanation:
a + b = 5 .... Equation 1
2a - 3b = 4 ..... Equation 2
Multiple equation 1 by 2,
2a + 2b = 10 ..... Equation 3
Subtract equation 2 from equation 3,
2a + 2b = 10
- 2a - 3b = 4
We get,
5b = 6
b = 6/5
Substituting b = 6/5 in equation 1,
a + 6/5 = 5
a = 5 - 6/5
a = (25 - 6)/5
a = 19/5
Therefore, a = 19/5 and b = 6/5
Second option is the correct answer.
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