Question

Write two equations in standard form that are equivalent to the given equation
8x-14y=2

Answer 1

To me equivalent means equal but different. Kind of confusing huh? Margarine is used equivalently as butter, but different.

If I divide or multiple every term by a number and I mean every term by the same number, is the equation equivalent but different?

x | 2y = 10x + 8 | y = 5x + 4
--------|---------------|---------------
0 | 2y = 8 y = 8/2 | y = 4
1 | y = 18/2 | y = 9
2 | y = 28/2 | y = 14

If you continue this you will see that for any x the two equivalent equation equal the same y. You should be able to write an infinite number of equations equivalent to
8x -14y = 2

Answer 2

8x-14y=2----(1)
multiply or divide the equation with any real number u can get equivalent equation

Answer 3

example
divide equation (1) by 2
u can get
4x-7y =1

Answer 4

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