3x - 5y = -9
x + 2y = 8

3x-5y=-9 is simplified to y=3/5x+9/5

x+2y=8 is simplified to y=-1/2x+4

x=2  y,=3

(2,3)

Step-by-step explanation:

3x - 5y = -9

x + 2y = 8

We will use elimination.  Multiply the second equation by -3

-3(x + 2y) = 8*-3

-3x -6y = -24

Add this to the first equation

3x - 5y = -9

-3x -6y = -24

0 - 11y    = -33

Divide each side by -11

-11y/-11 = -33/-11

y =3

Now substitute into the second equation to find x

x+ 2y = 8

x+2(3) =8

x+6 =8

Subtract 6 from each side

x+6-6=8-6

x=2

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step-by-step explanation: