Question

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 :​

Answer 1

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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