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Mathematics 6 Online
OpenStudy (gudetamas):

Solve 3|2x+5|=12

myininaya (myininaya):

Try dividing both sides by 3 to isolate the |2x+5|

myininaya (myininaya):

Also if |u|=a where a is positive then u=a or u=-a

OpenStudy (gudetamas):

ok so 2x+5 = 4

OpenStudy (ageta):

yes

myininaya (myininaya):

that's one equaiton you will neeed to solve there is one more equation you need to solve

OpenStudy (ageta):

subtract 5

OpenStudy (ageta):

from both side

OpenStudy (gudetamas):

what equation?

OpenStudy (ageta):

there is another equation you have to solve after you find x

OpenStudy (ageta):

the same equation just plug in the x

OpenStudy (ageta):

for now lets find x first

OpenStudy (gudetamas):

ok so x is -1/2 correct?

OpenStudy (ageta):

yes

OpenStudy (ageta):

now plug in -1/2 to the first equation

myininaya (myininaya):

3|2x+5|=12 divide 3 on both sides |2x+5|=4 the two equations you need to solve are: 2x+5=4 2x+5=-4

OpenStudy (ageta):

which is 3|2x+5|=12

OpenStudy (ageta):

now plug in -1/2 to x

OpenStudy (ageta):

@gudetamas you there

OpenStudy (gudetamas):

yes

OpenStudy (gudetamas):

ok i worked it out and i got x = 1

OpenStudy (gudetamas):

is that the final answer or do i put down the two answers?

OpenStudy (ageta):

no sorry post it and i will see where you messed up

OpenStudy (gudetamas):

ok so i did 3|2(-1/2)+5| = 12 and then 2(-1/2) is 1 so i wrote 3|-1+5|=12 and then i divided by 3 on both sides and got -1+5=4 and the i subtracted 5 and got -1

myininaya (myininaya):

have you solve the two equations I wrote above @gudetamas ?

OpenStudy (gudetamas):

1) 2x=-1 and 2) 2x +5 = -9

myininaya (myininaya):

where did the -9 come from?

myininaya (myininaya):

the equations I wrote were "3|2x+5|=12 divide 3 on both sides |2x+5|=4 the two equations you need to solve are: 2x+5=4 2x+5=-4"

OpenStudy (gudetamas):

-4 - 5

myininaya (myininaya):

the first one you can rewrite as 2x=-1 and the second oen can be rewritten as 2x=-9

myininaya (myininaya):

not 2x+5=-9

OpenStudy (gudetamas):

oh yeah sorry

OpenStudy (gudetamas):

and then i do what?

myininaya (myininaya):

you still need to finish solving 2x=-1 and 2x=-9 I think you solve the first and got x=-1/2

OpenStudy (gudetamas):

yes

OpenStudy (gudetamas):

how would i finish solving

myininaya (myininaya):

are you having trouble solving 2x=-9?

myininaya (myininaya):

to undo multiplication you will need to divide to isolate the variable

OpenStudy (gudetamas):

u divide 2 by -9

myininaya (myininaya):

the other way around -9 by 2

OpenStudy (gudetamas):

it would be -9/2

myininaya (myininaya):

yes -9/2

myininaya (myininaya):

-9/2 says divide -9 by 2

myininaya (myininaya):

but anyways -9/2 is the other solution

OpenStudy (gudetamas):

thankk you

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