Question 531851
3x - y = 5
x - 2y = 11
Multiply the 1st equation by -2, add to the 2nd equation
-6x + 2y = -10
+ x - 2y = 11
----------------adding eliminates y, find x
-5x = 1
x = {{{1/(-5)}}}
x = -.2
:
Use the 2nd equation to find y
-.2 - 2y = 11
-2y = 11 + .2
-2y = 11.2
y = {{{11.2/(-2)}}}
y = -5.6
:
:
Check those solutions in the 1st equation
3x - y = 5
3(-.2) - (-5.6) = 5
-.6 + 5.6 = 5
:
Summarize: x =-.2; y = -5.6