Question

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

Answer 1

x = 17, y = 9

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

The equations are consistent.

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.