Question 423447
Solution: From x-2y=2 we obtain x=2y+2, we substitute this value of x in the first equation: 2(2y+2)-3y=8, we solve this linear equation:

   4y+4-3y=8 => y=4 Substitute y=4 in the second equation: x-2*(4)=2 => x=10.

Answer: The ordered pair (10,4) is the solution of our system.

Check:2*10-3*4=8 => 20-12=8 => 8=8

      10-2*4=2 => 10-8=2 => 2=2

{{{graph( 400, 400, -5, 12, -5, 5, 0.5*x-1, 0.66*x-2.67)}}}