Question

1/2x+1/3y=2 અને 1/3x+1/2y=11/6​

Answer 1

1/2x+1/3y=-11/6;1/2x+4y=11/2

Solution :

{x,y} = {-5,2}

System of Linear Equations entered :

[1] x/2 + y/3 = -11/6

[2] x/2 + 4y = 11/2

// To remove fractions, multiply equations by their respective LCD

Multiply equation [1] by 6

Multiply equation [2] by 2

// Equations now take the shape:

[1] 3x + 2y = -11

[2] x + 8y = 11

// Solve equation [2] for the variable x

[2] x = -8y + 11

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

[1] 3•(-8y+11) + 2y = -11

[1] - 22y = -44

// Solve equation [1] for the variable y

[1] 22y = 44

[1] y = 2

// By now we know this much :

x = -8y+11

y = 2

// Use the y value to solve for x

x = -8(2)+11 = -5

Solution :

{x,y} = {-5,2}

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