anonymous
  • anonymous
3x+2y=-9 -10x+5y=-5 solve using procces of elimation
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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cwrw238
  • cwrw238
start by multiplying equation 1 by 5 and equation 2 by 5 then subtract to eliminate y
anonymous
  • anonymous
so in the first equation do i multiply by 5?
cwrw238
  • cwrw238
yes - dont forget multiply every term by 5

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anonymous
  • anonymous
Ok thank you =D
cwrw238
  • cwrw238
give it a go
asnaseer
  • asnaseer
you need to multiply equation 1 by some number (call it A) and equation 2 by some other number (call it B) such that either the coefficients of x or y become the same.
asnaseer
  • asnaseer
so for x (for example) we need 3A = 10B or for y, we need 2A = 5B
asnaseer
  • asnaseer
can you think of what A and B should B to make either of these two equal?
anonymous
  • anonymous
No
asnaseer
  • asnaseer
ok, lets say we want to eliminate y, then we need to find two numbers A and B such that: 2A = 5B we could pick A=5 and B=2 to get: 2*5 = 5*2
asnaseer
  • asnaseer
so now if we multiply the first equation by 5 and the second one by 2 we get: 5(3x + 2y) = 5(-9) ==> 15x + 10y = -45 2(-10x + 5y) = 2(-5) ==> -20x + 10y = -10
asnaseer
  • asnaseer
now we have two equations where the coefficients of y are the same, so we can subtract one from the other to eliminate y. do you know how to do that?
asnaseer
  • asnaseer
15x + 10y = -45 - equation 3 -20x + 10y = -10 - equation 4 equation 3 minus equation 4 will give us: (15 - (-20))x = -45 - (-10) (15 + 20)x = -45 + 10 35x = -35 x = -1 you can now substitute this back into either your first or second equation to find y.

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