Chapter 8 - Coordinate Geometry and Linear Systems - 8.2 - Graphing Linear Equations - Concept Quiz 8.2 - Page 341: 3

True

Let us solve the equation $2x+y=4$ for $y$: We subtract $2x$ from both sides of the equation: $$2x-2x+y=4-2x$$$$y=4-2x\\\\y=-2x+4$$We end up with the second equation. This proves that the two equations are equivalent.