Question

Which of the following shows a system of equations equivalent to 2x+7y=14 and 4x+5y=10?(1 point)
Responses

2x+7y=14 and 2x+5y=5
2 x plus 7 y equals 14 and 2 x plus 5 y equals 5

4x+14y=14 and 4x+5y=10
4 x plus 14 y equals 14 and 4 x plus 5 y equals 10

2x+7y=14 and 8x+10y=20
2 x plus 7 y equals 14 and 8 x plus 10 y equals 20

4x+14y=28 and 8x+10y=10

Answer 1

The third choice: 2x + 7y = 14 and 8x + 10y = 20.

Reason: the second equation 8x + 10y = 20 is just 2 times 4x + 5y = 10, so both systems have the same solution set (e.g. x = 0, y = 2).