What are two equations that are in standard form and equivalent to 6x+2y=8?

The two equations that are equivalent to given equation 6x + 2y = 8 are 3x + y = 4 and 12x + 4y = 16

Solution:

Given that we have to write two equations in standard form that is equivalent to 6x + 2y = 8

The standard form of an equation is Ax + By = C. In this kind of equation, x and y are variables and A, B, and C are integers

Given equation is:

6x + 2y = 8

Taking 2 as common term,

2 (3x + y) = 8

3x + y = 4

Thus the above equation 3x + y = 4 is equivalent to given equation

Any equation that is a multiple of given equation 6x + 2y = 8 would be equivalent.

Multiply 6x + 2y = 8 by 2

[ note that you can multiply by any term like 0.5, 3, 3.5 and so on. Here we choose 2 to multiply ]

2 (6x + 2y = 8) ⇒ 12x + 4y = 16

Thus the two equations that are equivalent to given equation are 3x + y = 4 and 12x + 4y = 16