Question 443289
Solve this system using elimination : 
 2x = 5y
 3y + x = -11
Rewrite the equations to:
2x - 5y = 0
 x + 3y = -11 
:
multiply the 2nd equation by -2, results:
+2x - 5y = 0
-2x - 6y = 22
----------------addition eliminates x, find y
0 + -11y = 22
y = {{{22/(-11)}}}
y = -2
:
Find x using the 1st equation
2x - 5(-2) = 0
2x + 10 = 0
2x = -10
x = {{{(-10)/2}}}
x = -5
:
:
Check solutions in the 1st original equation
 3y + x = -11
 3(-2) - 5 = -11
 -6 - 5 = -11; confirms our solutions of x=-5, y=-2