What is the solution of the system of equations 2x - 5y = 11 and - 2x + 3y = - 9?

x = 3, y = - 1

Step-by-step 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