Question

If (2, -1) is the point of intersection of line ax-by=17 and bx-ay =19 find the value of A and B​

Answer 1

Answer:

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Answer 2

$\huge \bf\pink{SoluTioN}$

$\sf{According \: To \: QuesTion}$

• x=2
• y=-1

$\huge \bf \red{GiVen \: eqUaTioNs}$

ax-by=17

$2a - ( - 1)b = 17 \\ \\ 2a + b = 17 ........(1)$

bx-ay =19

$2b - ( - 1)a = 19 \\ \\ 2b + a = 19 \\ \\ a = 19 - 2b$

put the value in equation (1)

$2(19 - 2b) + b = 17 \\ \\ 38 - 4b + b = 17 \\ \\ - 3b = - 21 \\ \\ b = 7$

$a = 19 - 2b \\ \\ 19 - 2(7) \\ \\ a = 2$

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