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 423448: 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 scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
multiply 2nd equation by -2 and add to 1st equation
___ this will eliminate the x terms, because the coefficients will have the same number but different signs

[-2x + 4y] + [2x - 3y] = [-4] + [8]

y = 4

substitute the value of y into one of the equations to find x

x - 2(4) = 2

x = 10