Question

A.(3,7) is a solution to the linear system.

B.(3,7) is Not a Solution to the linear system.

Answer 1

y = 2x + 1 --> linear

y = -4x + 7 --> non-linear

Not a solution for a linear system.

Explanation:

for (a), y = 2x+1, substitute the x and y values. keep in mind, that in a linear pair, (x, y). So, for the first equation you get:

7 = 2x3 + 1. This is correct, because 6 + 1 is 7. Therefore, (a) is linear.

for (b), we have to substitute our values again. You get:

7 = -4x3 + 7, which is

7 = -12+7, which is not true. So, (b) is not linear.

This means that for the linear pair (3, 7), it does not satisfy both equations, which means that it is not a solution for the linear system.