Question

Q-5 If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b are respectively *

Answer 1

the value of a and b is

a = 19/5

b= 6/5

Answer 2

$Given\: pair \: of \: equations :$

$x + y = 5 \: ---(1)\: and$

$2x - 3y = 4\: ---(2)$

$Given \: x = a \: y = b \: is \: a \: solution$

$put \: these \: values\: in \: above \: equations$

$we \:get$

$a + b = 5$

$\implies b = 5 - a \: ---(3)$

$2a - 3b = 4 \: ---(4)$

$\implies 2a - 3(5-a) = 4$

$\implies 2a - 15 + 3a = 4$

$\implies 5a = 4 + 15$

$\implies a = \frac{19}{5}$

$Put \: the \: value \: of \: 'a' \: in \: equation \:(3),$

$we \:get$

$b = 5 - \frac{19}{5}$

$\implies b = \frac{25-19}{5}$

$\implies b = \frac{6}{5}$

Therefore.,

$\green { a = \frac{19}{5} \:and \: b = \frac{6}{5} }$

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