Question

If 3x+2y = 29, 2x+3y=31 . find value of (x-y)​

Answer 1

Answer:

{x,y} = {5,7}

Step-by-step explanation:

/ Solve equation [2] for the variable y

{x,y} = {5,7}

[2] 2y = -3x + 29

[2] y = -3x/2 + 29/2

// Plug this in for variable y in equation [1]

[1] 2x + 3•(-3x/2+29/2) = 31

[1] -5x/2 = -25/2

[1] -5x = -25

// Solve equation [1] for the variable x

[1] 5x = 25

[1] x = 5

// By now we know this much :

x = 5

y = -3x/2+29/2

// Use the x value to solve for y

y = -(3/2)(5)+29/2 = 7

Solution :

{x,y} = {5,7}

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