Question

2 by x + 3 by y = 1 and 3x -2y = 0 find x and y
if you give the correct answer i will give you brainliest

Answer 1

Step-by-step explanation:

System of Linear Equations entered :

[1] y=1/3x-3

[2] -2x+y=2

Equations Simplified or Rearranged :

[1] y - x/3 = -3

[2] y - 2x = 2

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

Multiply equation [1] by 3

// Equations now take the shape:

[1] 3y - x = -9

[2] y - 2x = 2

Graphic Representation of the Equations :

x + 3y = -9 -2x + y = 2

Solve by Substitution :

// Solve equation [2] for the variable y

[2] y = 2x + 2

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

[1] 3•(2x+2) - x = -9

[1] 5x = -15

// Solve equation [1] for the variable x

[1] 5x = - 15

[1] x = - 3

// By now we know this much :

y = 2x+2

x = -3

// Use the x value to solve for y

y = 2(-3)+2 = -4

Solution :

{y,x} = {-4,-3}

Hope you can understand..