Math, asked by samnaniinaya1000, 1 year ago

Solve 2x+3y =11 and 2x-4y=-24 and here find the value of m for which y=mx+3

Answers

Answered by rupali8153gmailcom2
1
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Answered by Itzcutemuffin
3

Answer:

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\huge\color{cyan}\boxed{\colorbox{black}{Question ❤}}

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

\huge\color{cyan}\boxed{\colorbox{black}{Answer❤}}

\huge\color{red}\boxed{\colorbox{black}{-1}}

\huge\color{cyan}\boxed{\colorbox{black}{To find}}

Value of m

\huge\color{cyan}\boxed{\colorbox{black}{Solution❤}}

2x + 3y = 11 \:  (eq.\: 1)

2x  \: – \:  4y = -24(eq. \: 2)

subtracting \: eq \: 1from \: 2

2x \:  -   \: 4y - (2x + 3y) = -24 - 11

 =  > 2x  - 4y - 2x - 3y  \\  =  - 35 \\  \\  =  >  \: 7y \:  =  - 35 \\  \\ y \:  =  \frac{35}{7}  \\  \\  =  > y \:  = 5

now, \\  \\for \: the \: value \: of \: x, \\  in \: equation \: 1  \\ putting, \: the \: value  \\ of \: y \:  \\ 2x + 3y = 11

 =  > 2x \:  + 3 \times 5 = 11 \\  \\ (value \: of \: y \:  = 5) \\  \\  =  > 2x \:  +  \: 15 \:  = 11 \\  \\  =  >  \: 2x \:  = 11 - 15 \\  \\ 2x =  - 4 \\  \\  =  > x  =  \frac{4}{2}  \\  \\  =  > x \:= 2

now \: we \: have \: the \: value \\ of \: x \: and \: y \\  \\ so \: putting \: it \: in  \\ y = mx + 3

 =  > 5 = m \times  - 2 +4 \\  \\  =  > 5-3 = m \times -2 \\  \\=> 2 \:  = -2m\\ => \frac{2}{-2}  = m \\ \\=> -1 = m

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