Question

solve using elimination method 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

Answer:

Step-by-step explanation:

Given :-

2x + 3y = 11 and 2x - 4y = -24

Solution :-

⇒ 2x + 3y = 11 ... (i)                  

Subtracting 3y both side we get                  

⇒ 2x = 11 – 3y … (ii)                  

Putting this value in equation second we get                  

⇒ 2x – 4y = – 24 … (iii)                  

⇒ 11- 3y – 4y = – 24                  

⇒ 7y = – 24 – 11                  

⇒ –7y = – 35                  

⇒ y = – 35/–7                  

⇒ y = 5                  

Putting this value in equation (iii) we get                  

⇒ 2x = 11 – 3 × 5                  

⇒ 2x = 11 – 15                  

⇒ 2x = – 4                  

Dividing by 2 we get                  

⇒ x = – 2                  

Putting the value of x and y                  

⇒ y = mx + 3.                  

⇒ 5 = – 2m + 3                  

⇒ 2m = 3 – 5                  

⇒ m = – 2/2                  

⇒ m = – 1

Hence, the value of 'm' for which y = mx + 3 is - 1.