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

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b