Question

solve 2x+3y and 2x-4y =-24 and hence the value of " m " for which y=mx+3 ? ​

Answer 1

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Answer 2

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2x+3y = 11 ______ i

2x+3y = -24 _______ii

by 1

2x+3y = 11

2x+3y = 11x = 11-3y/2

putting the value of (x) in { I }

2x-4y = -24

2 (11-3y/2)-4 = -24

11-3y -4y = -24

-7y = -24 -11

7y = 35

y = 35/7

y = 5

put value

x = 11-3(5)/2

x = 11 - 15/2

x = -4/2

x = -2

$\boxed{\huge{\mathscr\green{x=-2,y=5}}}$

y = mx + 3

5 = m (-2) +3

5-3/-2 = m

2/-2 = m

$\huge\underline\bold{\red{\fbox{m=-1}}}$

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