anonymous
  • anonymous
how do you work out #11
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
campbell_st
  • campbell_st
solve simultaneously x + y = 26 3x + 2y = 60 x = 8, y = 18
anonymous
  • anonymous
how did you get the x and y so quickly, how did you know 8 and 18?

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campbell_st
  • campbell_st
well you have 2 equations double equation 1 and then subtract it from equation 2... this will eliminate y 3x + 2y = 60 - 2x + 2y = 52 subtracting each term x = 8 is the solution... then sub into the equation x + y = 26.. and y has to be 18... its called solving simultaneous equations...
anonymous
  • anonymous
would you please show me your work?
anonymous
  • anonymous
im trying to follow, sorry im new at this
campbell_st
  • campbell_st
let x be the 1st number and y the second... the question said the sum of the 2 numbers was 26 so x + y = 26 it also said 3 times the smaller plus 2 times the larger is 60 3x + 2y = 60 then solve as above
anonymous
  • anonymous
can you always double the equation one and subtract it from the other?
anonymous
  • anonymous
campbell? can you always double the equation one and subtract it from the other?
anonymous
  • anonymous
you doubled it to get 2y so you could solve for y, right? I think I get it.
campbell_st
  • campbell_st
yes.. you choose an operation that allows you to eliminate a pronumeral
anonymous
  • anonymous
in order to get rid of y you had to double everything in the second equation and then ....awesome

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