Question

solve 7x-4y=9;3x+2y=-11​

Answer 1

Answer:

.....Ans..................

x=-1 and y=-4

Answer 2

7x - 4y = 9 --------- (i)

3x + 2y = -11 ----------- (ii)

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In equation¹,

$7x - 4y = 9$

$x = \frac{9 + 4y}{7}$

Substituting the value of x in equation²

$3x + 2y = - 11$

$3( \frac{9 + 4y}{7} ) + 2y = - 11$

$( \frac{27 + 12y}{7}) + (\frac{2y}{1}) = - 11$

$\frac{27 + 12y + 14y}{7} = - 11$

$27 + 12y + 14y = - 77$

$26y = - 77 - 27$

$y = \frac{ - 104}{26}$

$\fcolorbox{pink}{yellow}{y\:=\:-4}$

Substituting the value of y in equation 1

$7x - 4y = 9$

$7x - 4( - 4) = 9$

$7x + 16 = 9$

$7x = 9 - 16$

$x = \frac{ - 7}{7}$

$\fcolorbox{pink}{yellow}{x\:=\:-1}$

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