SOLUTION: solve the linear system and check your solution algebraically. { 2x - 3y = 8 x - 2y = 2 ***please i really need your help ASAP! thankyou so much!

Algebra ->  Linear-equations -> SOLUTION: solve the linear system and check your solution algebraically. { 2x - 3y = 8 x - 2y = 2 ***please i really need your help ASAP! thankyou so much!      Log On


   



Question 423447: solve the linear system and check your solution algebraically.
{ 2x - 3y = 8
x - 2y = 2
***please i really need your help ASAP! thankyou so much!

Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
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
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