What is the value of x in the following system: y=2x+5
y=-3x+10

- anonymous

What is the value of x in the following system: y=2x+5
y=-3x+10

- katieb

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- anonymous

ok.... since both equations start off as "y=..." set them equal to each other....

- anonymous

what do you mean equal to each other?

- anonymous

2x+5 = -3x+10

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- anonymous

OHHHHH!! OK I got x=-3

- anonymous

no... try again.... be careful...

- anonymous

x=3

- anonymous

how did u get that? try again...

- anonymous

okay so i got 2x+15=-3x and then i subtracter -2 from -3 on the other side

- anonymous

ok... you moved the 10 over from the right side so that means you needed to SUBTRACT 10 from both sides... that 15 should be a -5... ????

- anonymous

OHHHHH! SORRY!! I forgot to do inverse operation !

- anonymous

so let's take it from there now....
2x - 5 = -3x
what next?

- anonymous

you subtract -2 from -3x

- anonymous

you mean subtract 2x from both sides.... ???
2x - 5 -2x = -3x -2x

- anonymous

can you simplify both sides??

- anonymous

|dw:1360045806698:dw|

- anonymous

you're solving for x so you do not want to cancel x.... cancel the -5 instead...|dw:1360045928707:dw|

- anonymous

now solve for y....

- anonymous

ok its y=2

- anonymous

how did u get that? you can use either equation from the beginning....

- anonymous

just plug in x=1 to either equation to find y...

- anonymous

yeah that's exacly what i did @dpaInc oohh wait i checked it and i got 7 now

- anonymous

lol... that's correct now...

- anonymous

YAYxD they are asking for the value of x and in the beggining we talked that it was x=1

- anonymous

oh... you didn't need to find the value for y ???

- anonymous

no.but that's alright dont worry.thanks so much,i suck at algebra so i really need all the help i can get=D

- anonymous

you don't suck at algebra.... just need practice like everyone else.... keep up the good work...
cya! :)

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