Question

9. Find the values of x, y, a and b when (x + y a-b)=(5 3)
(a+b 2x-3)=(-1 -5)​

Answer 1

Answer:

$Value \: of \: x = -1, y = 6$

$a = 1 \: and \: b = -2$

Step-by-step explanation:

$We \:know \: that ,$

$\boxed { \pink { If \: (a,b) = (c,d) \implies a = c \: and \:b=d }}$

$i ) Here \:(x+y , a-b) = (5,3)$

$\implies x + y = 5 \:---(1) \\a-b = 3 \: ---(2)$

$ii ) (a+b , 2x - 3) = (-1, -5 )$

$\implies a + b = -1 \: ---(3) \\and \: 2x-3 = -5 \:--(4)$

$\implies 2x = -5 + 3$

$\implies 2x = -2$

$\implies x = \frac{-2}{2} = -1$

$Put \: x = -1 \: in \: eqution \: (1) , we \: get$

$\implies -1 + y = 5$

$\implies y = 5 + 1 = 6$

$and \: [ From \: (2) \:and \: (3) ]$

$a = 1 \: and \: b = -2$

Therefore.,

$Value \: of \: x = -1, y = 6$

$a = 1 \: and \: b = -2$

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