anonymous
  • anonymous
if someone can help me please respond here:
Mathematics
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anonymous
  • anonymous
if someone can help me please respond here:
Mathematics
chestercat
  • chestercat
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amistre64
  • amistre64
whatcha need help with?
anonymous
  • anonymous
how do i solve this system: 5x+2y =7 -x/2 + y/6 = 3/2 i have been trying to solve this but can't get it right, could you show me the steps!
amistre64
  • amistre64
I did that one on your other post, do you see it?

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amistre64
  • amistre64
solve for y in the top: y = -5x/2 +7/2 plug it into the bottom equation: -x/2 + (-5x/2 +7/2)/6 = 3/2 Solve for x: -x/2 -5x/12 +7/12 = 3/2 -6x/12 -5x/12 +7/12 = 18/12 -6x -5x +7 =18 -11x = 11 x=-1 Now that we have a solid number for x; plug it into the equation we found for y: y = -5(-1)/2 +7/2 y= 5/2 + 7/2 y= 12/2 = 6 Double check for accuracy :)
anonymous
  • anonymous
ok thanks i really appreciate it, i have one other... completing the square t^2 -9t_______ it says to first complete trinomial ____________________________ the then (_________________________)^2 bionomial squared...
anonymous
  • anonymous
for the first question... i was taught to plug 0 in.... how did you get 7/2 ....
amistre64
  • amistre64
Yes, to complete the square we need to find a term whose product adds up to (-9); which is just (-9/2)^2.
amistre64
  • amistre64
To solve for y: subtract (5x) from both sides: 2y = -5x + 7 now divide everything by (2): (2/2)y = (-5/2)x + (7/2) y = (-5/2)x + (7/2)
anonymous
  • anonymous
ok got that... and then this step confuses me Solve for x: -x/2 -5x/12 +7/12 = 3/2 -6x/12 -5x/12 +7/12 = 18/12
amistre64
  • amistre64
(t-(9/2))^2 = (t-(9/2)) (t-(9/2)) = t^2 -9 + 81/4
anonymous
  • anonymous
Solve for x: -x/2 -5x/12 +7/12 = 3/2 -6x/12 -5x/12 +7/12 = 18/12
anonymous
  • anonymous
got me lost...
anonymous
  • anonymous
it started out different...
anonymous
  • anonymous
with the 6 on the bottoms and turned to tweleve why did you multiply
amistre64
  • amistre64
To solve for x: we need to get all the fractions having the same denominators. The common denominator is 12: -x/2 needs to be multiplied by 6/6 to get a 12 on the bottom: -6x/12 -5x/12 already gots a 12 +7/12 already gots a 12 3/2 needs to be multiplied by 6/6 to get 12 on bottom: 18/12 Now because everything has a 12 on the bottom, we can toss the 12 out to clean up the equation: -6x -5x +7 = 18
anonymous
  • anonymous
but what happens to the 6 on the bottom of the 2nd fraction...
amistre64
  • amistre64
i see it: we solved for y to get: y = -5x/2 +7/2 The second equation has the term: y/6, so plug in what you found out about "y" to get: (-5x/2 +7/2)/6 when we divide the 6 thru we get: (-5x/2)/6 and (7/2)/6 the 6 actually multiplies to the bottom number, the 2. so that the denominators become 12. Does that make sense? I can try explaining it another way if you like
anonymous
  • anonymous
i am writting it down sorry its taking me so long.. i really appreciate your help :)
anonymous
  • anonymous
ok i understand that now, so then once i have those answers (-x/2) (-5x/2)/6 (7/2)/6 = 3/2 what am i doing to get twelve? becaues isn't (7/2)/6 technically .58
amistre64
  • amistre64
let me try it this way, cause fractions are terrible in this format. top: (-5x)(1) +(7)(1) = -5x +7 bottom: (2) (6) (2)(6) = 12 12 How does that look? :)
anonymous
  • anonymous
more confusing i have wrritting out fine... with the fractions over 6 but don't get what i am doing if i have 7/2 over 6 that equals .58
amistre64
  • amistre64
To divide fractions; flip the bottom one over and multiply across. (7/2)/(6/1) is the same as (7/2)(1/6) = (7/12)
amistre64
  • amistre64
gotta run; have fun :)
anonymous
  • anonymous
thx

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