Question

solve 2x+3y=11 and 2x-4y=-24 and hence find the value of 'm' for which y=mx+3.

Answer 1

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Answer 2

$\textbf{\underline{\underline{According\:to\:the\:Question}}}$

2x + 3y = 11 ..... (1)

2x - 4y = -24 ..... (2)

★Now here solve equation (1) by substitution Method :-

2x + 3y = 11

3y = 11 - 2x

${\boxed{\sf\:{y=\dfrac{11-2x}{3}}}}$

★Substitute the value of y in (2)

$\rightarrow{2x-4(\dfrac{11-2x}{3}=-24}$

6x - 44 + 8x = -72

14x = -72 + 44

14x = -28

${\boxed{\sf\:{x=\dfrac{-28}{14}}}}$

x = -2

${\boxed{\bigstar{{Substitute\;the\;value\;of\;x\;in (1)}}}}$

2(-2) + 3y = 11

3y = 11 + 4

3y = 15

${\boxed{\sf\:{y=\dfrac{15}{3}}}}$

y = 5

★Now :-

y = mx + 3

5 = m(-2) + 3

5 = -2m + 3

5 - 3 = -2m

2 = -2m

${\boxed{\sf\:{\dfrac{2}{-2}=m}}}$

m = -1