3x - 4 = 2 - 3y3x - 4 + 4 = 2 - 3y + 43x = 6 - 3yx = (6 - 3y) / 3x = 2 - y
y = 1 1/3 - 3yy = 4/3 - 9y1 = 4/3 + 8y8y = 3 - 4/38y = 9/3 - 4/38y = 5/3y = 5/24
x + y = x + yThis is always true
x - y + 2 = 0This is a linear equation
2x + 3y = 2x + 3y + 2This is always true
x - 7y + 1 = 0This is a linear equation
3x + 5y = 5(x + 3y) - 2(x + 5y)3x + 5y = 5x + 15y - 2x - 10y3x + 5y = 3x + 5yThis is always true
y - 3 + x = 2x + (x + y - 3)y - 3 + x = 2x + x + y - 3y - 3 + x = 3x + y - 3x = 2xThis is not possible
3x + 4y + 1 = (x + y - 2) + (2x + 3y + 3)3x + 4y + 1 = x + y - 2 + 2x + 3y + 33x + 4y + 1 = 3x + 4y + 21 = 2This is not possible
x + y + 2 = y + (2 + x)x = 2This is valid.
3x - 4 = 2 - 3y
3x - 4 + 4 = 2 - 3y + 4
3x = 6 - 3y
x = (6 - 3y) / 3
x = 2 - y
y = 1 1/3 - 3y
y = 4/3 - 9y
1 = 4/3 + 8y
8y = 3 - 4/3
8y = 9/3 - 4/3
8y = 5/3
y = 5/24
x + y = x + y
This is always true
x - y + 2 = 0
This is a linear equation
2x + 3y = 2x + 3y + 2
This is always true
x - 7y + 1 = 0
This is a linear equation
3x + 5y = 5(x + 3y) - 2(x + 5y)
3x + 5y = 5x + 15y - 2x - 10y
3x + 5y = 3x + 5y
This is always true
y - 3 + x = 2x + (x + y - 3)
y - 3 + x = 2x + x + y - 3
y - 3 + x = 3x + y - 3
x = 2x
This is not possible
3x + 4y + 1 = (x + y - 2) + (2x + 3y + 3)
3x + 4y + 1 = x + y - 2 + 2x + 3y + 3
3x + 4y + 1 = 3x + 4y + 2
1 = 2
This is not possible
x + y + 2 = y + (2 + x)
x = 2
This is valid.