Which variable will you choose to eliminate? How? -3x -8y=-24 and
3x - 5y= 45

I'll choose 'x' variable first to eliminate because -

-3 (coefficient of 'x' in Eqn.1)  & 3 (coefficient of 'x' in Eqn.2) are additive inverses of each other , so they can be easily eliminated by simply adding those equations. It can be also solved by using elimination method but you'll need to multiply -1 with either Eqn.1 or Eqn.2 because in elimination method , a variable can be eliminated only when their coefficients are numerically equal (along with their sign).

Step-by-step explanation:

Eqn.1 → -3x - 8y = -24

Eqn.2 → 3x - 5y = 45

If we'll add both the equations , then '3x' would be getting cancelled first.

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Putting the value of y in eqn.2 ,

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Reducing the fraction gives ,

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It’s hard to understand what you put.. can you show a picture ?