Question

Solve 2x + 3y = 11 and 2x – 4y = – 24 and hence find the value of ‘m’ for which y = mx + 3.​

Answer 1

Answer:

hey mate here is your answer

Step-by-step explanation:

Frnd your answer is m=-1.

I hope u get your answer

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Answer 2

ANSWER-

Given Equations -

• 2x+3y =11
• 2x -4y = (-24)
• y= mx+ 3

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$\huge{\mathbb{\underline{\red{SOLUTION}}}}$

$2x + 3y = 11 - - - - - i \\ 2x - 4y = ( - 24) - - - ii$

Now subtracting ii from i we get,

$2x + 3y - (2x - 4y) =11 - ( - 24) \\ \implies \: 2x + 3y - 2x + 4y = 11 + 24 \\ \implies \: 7y = 35 \\ \implies \: y = \frac{35}{7}$

$\bold{\green{\boxed{y=5-----A}}}$

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Now from i we know,

2x+3y =11

then putting y=5 (from A) we get,

2x+3×5=11

=>2x=11-35

=>2x = -24

=> x= (-24)÷2

$\bold{\green{\boxed{x=(-2)----B}}}$

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We also know,

y=mx+3

=> 5= m×(-2)+3

=>-2m= 5-3

=> 2m= -2

$\huge{\red{\boxed{\boxed{m=-1}}}}$