In the equation 2x + 3y = 11, find the value of (a) x if y = 5 and (b) y if x =4.​

2 thoughts on “In the equation 2x + 3y = 11, find the value of (a) x if y = 5 and (b) y if x =4.​”

1. Step-by-step explanation:

   when y=5

   2x + 3y = 11

   => 2x + 3*5 = 11

   => 2x + 15 = 11

   => 2x = 11 – 15

   => 2x = – 4

   => x = -4/2

   = -2

   when x=4

   2x + 3y = 11

   => 2*4 + 3y = 11

   => 8 + 3y = 11

   => 3y = 11 – 8

   => 3y = 3

   => y = 3/3

   = 1

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2. Equation : 2x + 3y = 11

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   (a) To find =

   • Value of x

   Given =

   • y = 5

   So, Let‘s solve :

   2x + 3y = 11

   ➭2x + 3(5) = 11

   ➭ 2x + 15 = 11

   ➭2x = 11 – 15

   ➭2x = -4

   ➭ x = -2

   Therefore,Value of x = –2 ✓

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   (b) To find =

   • Value of y

   Given =

   • x = 4

   So, let‘s solve :

   2 x + 3y = 11

   ➭ 2(4) + 3y = 11

   ➭ 8 + 3y = 11

   ➭ 3y = 11 -8

   ➭ 3y = 3

   ➭ y = 1

   Therefore ,Value of y = 1 ✓

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