use the method of substitution to solve the system of linear equations
5x+3y=5/6
y=6x-1
find the ordered pairs

Question

use the method of substitution to solve the system of linear equations
5x+3y=5/6
y=6x-1 
find the ordered pairs

anonymous · Answer

Just replace y in the first equation with the expression of the second equation

vortish · Answer

ok so it would be 5x+3(6x-1)=5/6

anonymous · Answer

Yup

vortish · Answer

ok ty

asnaseer · Answer

are you stuck on this? from the chat above it looks like you know what to do now.

vortish · Answer

yea im stuck

asnaseer · Answer

what are you having difficulty with?

vortish · Answer

trying to find the ordered pairs

asnaseer · Answer

well you got this part correct:

5x+3(6x-1)=5/6

so solve this to find a value for x.

Then use:

y=6x-1

to get a value for y. Then your solution will be the ordered pair given by (x, y) where you replace x and y by the numbers you found above.

vortish · Answer

well i have come up with 5x+18x=1=5/16 then 23x-1=5/16 and then i get stuck

asnaseer · Answer

so you do not know how to solve for x - looks like you first need to learn some algebra. I would recommend that you view these short videos: http://www.khanacademy.org/math/algebra/introduction-to-algebra that will give you a good grounding on alegra which will make it easier for you to solve questions like this one.

vortish · Answer

you have to get x on one side by it self

asnaseer · Answer

yes

vortish · Answer

so yo have to add like terms to do that right

asnaseer · Answer

yes, but your initial expansion of:

5x+3(6x-1)=5/6

was incorrect

asnaseer · Answer

what is:

3(6x-1)

asnaseer · Answer

when expanded?

vortish · Answer

so i come up with 23x -1=5/6 divide both the 23 and the one by 23 to come up with x-1/23=5/6 then subtract both sides by 1/23

vortish · Answer

so you come up with x = 5/6-1/23

asnaseer · Answer

please look above ^^^ you got the initial expansion wrong

asnaseer · Answer

what is:

3(6x-1)

 when expanded?

vortish · Answer

oh its 18x -3

asnaseer · Answer

correct, you start again from:

5x+3(6x-1)=5/6

asnaseer · Answer

also - to simplify your life - I would first get rid of the fractional parts in this equation. you can do that by multiplying both sides by 6.

vortish · Answer

5x +18x-3=5/6

asnaseer · Answer

correct - now multiply both sides by 6 to get rid of the fraction

vortish · Answer

so it would be (23x)6-3=5/6(6)

asnaseer · Answer

when you multiply both sides - you must ensure that EVERY term is multiplied

asnaseer · Answer

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