5x-y=33,5x+6y=-23
are these simultaneous equations or do you want them solved seperately
equation
if simultaneous equations, 5x -y=33 and multiply second eq by -1 to get -5x-6y=+23 then add these together... 5x and -5x cancel. -y and -6y = -7y and finally 33 and 23 = 56 so we have -7y=56, or 7y=56, y = 56/7 = 8
then you can substitute y in the first equation to find x
it is unlikely that they are asking for these to be solved seperately. it is more likely they are simultaneous equations, yes?
yes a soution on a graph with 2 points
Note I said "so we have -7y=56, or 7y=56" this is an error, it should be 7y=-56, so y=-8 sorry bout that!
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so the second part is: 5x -y=33 5x-(-8)=33 5x+8=33 5x=33-8 5x=25 x=25/5 x=5 so your point is (5,-8)
thanks are these consistant
you can check your answer by substituting x and y in the second equation as follows: 5x+6y = -23 5(5)+6(-8)=-23 25-48=-23 -23=-23 so therefore the values for x and y (5,-8) are correct.
-14 less then or equal to3x +4 and3x+4less then10
thanks
what about it? I am new here, all of about 10 minutes new here,so don't speak shorthand yet.
do you want me to solve this inequality?
please thanks
okay..one moment
I presume you mean -14 <=3x+4<10.
yes
so we can divide this into 2 equations: 3x+4 =10 and 3x +4 = -14 first: 3x=10-4 3x=6 x=6/3 x=2
3x+4=-14 3x=-14-4 3x=-18 x=-18/3 x=-6
so, your values for x go between -6 and 2 let's check a value between -6 and 2 for example lets try -2: 3(-2)+4 = -6+4 -6+4 = -2 this is between -14 and 10 therefore it is a possible answer so your answer should be -6<= x <=2
In english that would read, x is greater than or equal to -6 and less than or equal to 2
or put more simply x is between -6 and 2
\[-6\ge x \le 2\]
like I said only 10 minutes here, so didnt realise they had an equation editor
Is that all Louise7413310?
or is there another problem I can help with?
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