Answer:
x= 3, y= -1
Explanation:
Let's solve your system by substitution.
2x−5y=11 and −2x+3y=−9
Solve x in 2x-5y=11
2x-5y=11 (add 5y to both sides)
2x = 5y + 11 (divide 2 by both sides)
x=5/2y + 11/2
substitute 5/2y+11/2 for x in -2x+3y=-9
-2x+3y=9
-2 (5/2y+11/2)+3y=-9
-2y-11=-9 (simplify both sides)
-2y-11=-9 (add 11 to both sides)
-2y=2 (divide both sides by -2)
y=-1
substitute your y (-1) in x = 5/2y + 11/2
x = 5/2y + 11/2
x=5/2(-1)+11/2
x=3
therefore, y= -1 and x = 3