Question

14x + 21 = 21y and 2x + 3y = 12

Answer 1

Answer:

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Step-by-step explanation:

Solve equation [1] for the variable x

[1] 2x = 3y - 5

[1] x = 3y/2 - 5/2

// Plug this in for variable x in equation [2]

[2] -14•(3y/2-5/2) - 21y = -35

[2] - 42y = -70

// Solve equation [2] for the variable y

[2] 42y = 70

[2] y = 5/3

// By now we know this much :

x = 3y/2-5/2

y = 5/3

// Use the y value to solve for x

x = (3/2)(5/3)-5/2 = 0

Solution :

{x,y} = {0,5/3}

Answer 2

Answer:

Step-by-step explanation:

Solve equation [1] for the variable x

[1] 2x = 3y - 5

[1] x = 3y/2 - 5/2

// Plug this in for variable x in equation [2]

[2] -14•(3y/2-5/2) - 21y = -35

[2] - 42y = -70

// Solve equation [2] for the variable y

[2] 42y = 70

[2] y = 5/3

// By now we know this much :

x = 3y/2-5/2

y = 5/3

// Use the y value to solve for x

x = (3/2)(5/3)-5/2 = 0

Solution :

{x,y} = {0,5/3}