DragonFlame
Solve, using the substitution method.
y – 2x = 8
16 + 4x = 2y



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hartnn
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y2x = 8
add 2x on both sides, what u get ?

DragonFlame
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y=9+2y

hartnn
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now plug in y= 8+2x in 2nd equation

DragonFlame
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I thought of doing 2x=8y

hartnn
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that can work, but things will get complicated soon.

DragonFlame
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16+4x=2(8+2x)

DragonFlame
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I see... I will use the way u told me than

hartnn
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yes, simplify 2(8+2x)

DragonFlame
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16+4x=16+4x

DragonFlame
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O.O IMPOSSIBLE

hartnn
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correct.
now think logically, when is that true

hartnn
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not impossible
its like 0=0

DragonFlame
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S0 infinite number of solutions

hartnn
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you take any value of x or y
16+4x will always be = 16+4x
so, yes, infinite solutions :)

DragonFlame
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yay! Thanks so much

mathmale
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Note how one of the given equations is a multiple of the other given equation. That's all the info you need to decide "infinitely many solutions."

DragonFlame
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I see, Thanks :)

mathmale
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:)