Question

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

Answer 1

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