Question

Find the number of solutions of the following systems of linear equations:X+2y=42x+4y=16​

Answer 1

Answer:

{x,y} = {4,-2}

Step-by-step explanation:

System of Linear Equations entered :

[1] 3x + 4y = 4

[2] 2x - 4y = 16

Graphic Representation of the Equations :

4y + 3x = 4 -4y + 2x = 16

Solve by Substitution :

// Solve equation [2] for the variable x

[2] 2x = 4y + 16

[2] x = 2y + 8

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

[1] 3•(2y+8) + 4y = 4

[1] 10y = -20

// Solve equation [1] for the variable y

[1] 10y = - 20

[1] y = - 2

// By now we know this much :

x = 2y+8

y = -2

// Use the y value to solve for x

x = 2(-2)+8 = 4

Solution :

{x,y} = {4,-2}

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