Math

Solve for both systems: 2x + 5y = 24 and - 2x + 3y = 40

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2x + 5y = 24

2x + 5y -5y= 24-5y

2x= 24-5y

2x/2= 24-5y /2

x=12-2.5y

- 2x + 3y = 40

- 2(12-2.5y) + 3y = 40

- 2(12) (-2)(-2.5y) + 3y = 40

-24+5y+ 3y = 40

-24+8y = 40

-24+8y+24 = 40+24

8y=64

8y/8=64/8

y=8

x=12-2.5y

x=12-2.5(8)

x=12-20=-8