anonymous
  • anonymous
A student is trying to solve the system of two equations given below: Equation P: y + z = 6 Equation Q: 3y + 4z = 1 Which of the following is a possible step used in eliminating the y-term?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@ LegendarySadist
anonymous
  • anonymous
a. (y + z = 6) ⋅ 4 b. (3y + 4z = 1) ⋅ 4 c. (y + z = 6) ⋅ −3 d. (3y + 4z = 1) ⋅ 3
anonymous
  • anonymous
please help will give medal

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jameshorton
  • jameshorton
you would multiply the first equation by a -3 this will give you : -3y - 3z = -18 3y + 4z = 1 --------------- 0 + z = -17 z = -17 as you can see, when added, the y terms cancel out...they are eliminated answer is C
anonymous
  • anonymous
i don't understand how you did that?
jameshorton
  • jameshorton
easy
anonymous
  • anonymous
what do you mean easy?
jameshorton
  • jameshorton
for the first equation multiple A -3
jameshorton
  • jameshorton
what is a -3
anonymous
  • anonymous
1?
jameshorton
  • jameshorton
do you know what the elimination method is, have you ever done elimination previously?
anonymous
  • anonymous
no
jameshorton
  • jameshorton
watch this video and tell me what your learned
jameshorton
  • jameshorton
https://www.youtube.com/watch?v=tphSgpilNv8
jameshorton
  • jameshorton
when your done tell me and im ask you a question
jameshorton
  • jameshorton
Well if we want to eliminate the y-term, we need to either make the y term above it equal to it and then subtract (substitution method) or make the number above it equal to it's negative and then add (addition method).
anonymous
  • anonymous
So if there is an equation like x+y=-3 and x-y=1 you add through columns to find the answer
jameshorton
  • jameshorton
Let's say we have the equations 2x+y=4 4x+3y=7 If we want to get the y alone, we would mutiply the entire top by 2 and then subtract. 2(2x+y=4)→4x+2y=8 With this we would subtract the bottom equation by the top. So 4x+2y=8 −(4x+3y=7) to get −y=1 In this example I was eliminating the x variable with the substitution method. Understand how the process works?
anonymous
  • anonymous
yes thank you so much!
jameshorton
  • jameshorton
welcme i have to go so bye
anonymous
  • anonymous
ok bye

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