Check the consistency of 2x-3y=7 and x-2y+1=0

x = 17, y = 9

or as an ordered pair, (17, 9).

The equations are consistent.

Step-by-step explanation:

2x - 3y = 7

x - 2y = - 1 Multiply this equation by - 2:

-2x + 4y = 2 Add this to the first equation:

y = 9.

Plug y = 9 into the second equation:

x - 2*9 = - 1

x = - 1 + 18 = 17.