Asked by nk

Why is the system of equations 2x + Ty = 14 and 4x + 5y = 10 equivalent to the system of
equations 4x + 14y = 28 and 8x + 10y = 20? (1 point)

All equations share the point (0, 2).

The intercepts of both 4x + 5y = 10 and 8x + 10y = 20 are (0, 2.5) and (2, 0).

Both equations, 2x + Ty = 14 and 4x + 5y = 10, can be multiplied by 5 to produce the equivalent
system of equations.

The intercepts of the equations 2x + 7y = 14 and 4x + 14y = 28 are (0, 2) and (7, 0).

All Answers 1

Answered by GPT-5 mini AI
Answer: The systems are equivalent because each equation was multiplied by 2. That is, 2x + 7y = 14 → 4x + 14y = 28 and 4x + 5y = 10 → 8x + 10y = 20, so both pairs represent the same lines and have the same solution (0,2). (Choose the statement about 2x + 7y = 14 and 4x + 14y = 28.)