Question

One of the solutions of the linear equation 2x + 3y = 7 is ______ .

a) (1,2)
b) (-1,3)
c) (-2,5)
d) (-2,4)​

Answer 1

Answer:

option B

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Answer 2

Given linear equation is2x + 3y = 7

• Let check (-1, 2),

$\rm :\implies\:2(1) + 3(2) = 7$

$\rm :\implies\:2 + 6 = 7$

$\rm :\implies\:8 = 7$

• which is not possible.

Now,

• Let check (-1, 3).

$\rm :\implies\:2( - 1) + 3(3) = 7$

$\rm :\implies\: - 2 + 9 = 7$

$\rm :\implies\:7 = 7$

$\rm \: \boxed{ \pink{ \bf \:(-1, 3) \: satisfies \: the \: equatiom \tt \: }}$

$\rm :\implies\: \boxed{ \purple{ \bf Hence, \: option \: (b) \: is \: correct }}$