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Mathematics 6 Online
gelphielvr:

(algebra 1) finding an x-value using x+y = a (question in the replies)

gelphielvr:

Spectrum:

So this method only works when you have a value on either equation that can multiply to equal the other, since you have a 15 x and a 30x, you can multiply, multiply the ENTIRE top equation by 2

Spectrum:

Resulting in 30x-24y=26

Spectrum:

Now subtract the equations.

Spectrum:

@spectrum wrote:
Now subtract the equations.
I forgot to clarify to subtract the equation you DID NOT change from the new one.

Spectrum:

Which results in -33y =22

Spectrum:

So then \[{y=-}\frac{2}{3}\]

sirena2456:

it's easy if you have notes too if you ever need help with algerbra 1 i can help

Spectrum:

Now plug the y value into one of the two original equations, preferably the simpler one

sirena2456:

which would give you 64/99

sirena2456:

but simplify it first

sirena2456:

i think

gelphielvr:

@spectrum wrote:
Now plug the y value into one of the two original equations, preferably the simpler one
sorry i've gotta go offline but tysm for your help - I appreciate it :]

Spectrum:

So then \[{15x-12*\frac{-2}{3}}=13}

Spectrum:

@spectrum wrote:
So then \[{15x-12*\frac{-2}{3}}=13}\]

Spectrum:

15x minus 12(-2/3) =13

Spectrum:

And -12 times -2/3 =8

Spectrum:

Then 15x+3=8

Spectrum:

So subtracting 3 from both sides is 15x = 5, dividing by 5 gives you \[{x=3}\]

Spectrum:

Hope this helped! \[{x=3}\]

Spectrum:

If you need a better explanation (I know I was all over the place) DM me and I'll get you a simplified one.

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