anonymous
  • anonymous
Solve the system using substitution and describe your steps x = y - 3 2x + y = 12
Mathematics
schrodinger
  • schrodinger
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Vocaloid
  • Vocaloid
the first equation (x = y - 3) tells us that we can replace x with y - 3 whenever we see it, right? look at the second equation, replace x with (y-3) and solve for y then go back and solve for x using the first equation
anonymous
  • anonymous
i need more help
Vocaloid
  • Vocaloid
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Vocaloid
  • Vocaloid
does this make sense? see how we replace "x" with (y-3)?
anonymous
  • anonymous
is that the final answer?
Vocaloid
  • Vocaloid
no, but do you understand so far?
anonymous
  • anonymous
yes
Vocaloid
  • Vocaloid
ok, so we have 2(y-3) + y = 12, so what do you get when you distribute the 2?
anonymous
  • anonymous
where do u distribute it to
anonymous
  • anonymous
this is a new concept
Vocaloid
  • Vocaloid
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anonymous
  • anonymous
2(y-3) = 2*y-6
Vocaloid
  • Vocaloid
excellent, so far we have 2y - 6 + y = 12, so combine like terms to find y
anonymous
  • anonymous
3y-6=12
Vocaloid
  • Vocaloid
getting there, now add 6 to both sides and divide by 3 to find y
anonymous
  • anonymous
6
Vocaloid
  • Vocaloid
great, so we know that y = 6, but we're still not done yet because we need to find x from the first equation, we know that x = y - 3, and since y = 6, what is x?
anonymous
  • anonymous
3?
Vocaloid
  • Vocaloid
good! x = 3 and y = 6 generally, the solution to a system of equations is written as (x,y), so since x = 3 and y = 6, our solution is (3,6) that's our final answer
anonymous
  • anonymous
thank you

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