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