consider the following equations:
6x = 2y - 9
9 - y + 3x = 0
1/3y = x - 9
What do they all have in common ?
To find what these equations have in common, we can examine their equations one by one and look for similarities:
1) 6x = 2y - 9
2) 9 - y + 3x = 0
3) (1/3)y = x - 9
Upon examining the equations, we notice that all three equations are linear equations. A linear equation is an equation where each term is either a constant or the product of a constant and a variable raised to the power of 1. In other words, the highest power of any variable in a linear equation is 1.
Additionally, we can see that all three equations are in the standard form, which is Ax + By = C, where A, B, and C are constants, and x and y are variables.
Therefore, the commonality among these equations is that they are all linear equations written in standard form.