Question

X+2y=3
3x-2y=5
What is the solution to system of equations?

Answer 1

x=2, y=1/2

Explanation:

Answer 2

x+2y=3;3x-2y=5

Solution :

{x,y} = {2,1/2}

System of Linear Equations entered :

[1] x + 2y = 3

[2] 3x - 2y = 5

Graphic Representation of the Equations :

2y + x = 3 -2y + 3x = 5

Solve by Substitution :

// Solve equation [1] for the variable x

[1] x = -2y + 3

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

[2] 3•(-2y+3) - 2y = 5

[2] - 8y = -4

// Solve equation [2] for the variable y

[2] 8y = 4

[2] y = 1/2

// By now we know this much :

x = -2y+3

y = 1/2

// Use the y value to solve for x

x = -2(1/2)+3 = 2

Solution :

{x,y} = {2,1/2}

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Explanation: