Ask your own question, for FREE!
Mathematics 21 Online
OpenStudy (anonymous):

help me math

OpenStudy (anonymous):

What is the value of the x variable in the solution to the following system of equations? 3x − 6y = 3 7x − 5y = −11 −2 −3 x can be any number as there are infinitely many solutions to the system. There is no x value as there is no solution to the system. Question 5 (Multiple Choice Worth 2 points) What is the value of the x variable in the solution to the following system of equations? 4x + 2y = 6 x – y = 3 −1 5 −2 2

OpenStudy (ash2326):

@fredloser do you know how to solve a system of equations?

OpenStudy (anonymous):

a little

OpenStudy (ash2326):

Which method we can use here?

OpenStudy (anonymous):

the easy version :)

OpenStudy (ash2326):

I meant 1) Substitution 2) Elimination Pick the easy one

OpenStudy (anonymous):

A

OpenStudy (ash2326):

Ok, do you know how should we proceed?

OpenStudy (anonymous):

subtract part 1 from part 2?

OpenStudy (ash2326):

No that would be elimination

OpenStudy (anonymous):

oh

OpenStudy (ash2326):

Find x in terms of y from first equation, I'll give you a hint \[3x-6y=3\] Divide both sides by 3 and subtract 6y from both sides

OpenStudy (ash2326):

*2y

OpenStudy (anonymous):

x-3y=3

OpenStudy (anonymous):

right?

OpenStudy (ash2326):

Check again!

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

can you make an example problem please

OpenStudy (ash2326):

I will show you an example \[2x+4y=4\] and \[x+y=9\] From first we'll find x and then substitute in the second \[2x+4y=4\] Divide both sides by 2, we get \[x+2y=2\] Now subtract 2y from both the sides \[x=2-2y\] Now let's substitute this in second \[x+y=9\] We found \(x=2-2y\) so \[2-2y+y=9\] Now we can find y \[2-y=9=>y=-7\] Now we have y, we can find x \[x=2-2y=2-2(-7)=>x=2+14\] so \[x=16\]

OpenStudy (ash2326):

@fredloser do you understand?

OpenStudy (anonymous):

yes

OpenStudy (ash2326):

Now try this here, :)

OpenStudy (anonymous):

Find x in terms of y from first equation, I'll give you a hint 3x−6y=3 Divide both sides by 3 and subtract 6y from both sides

OpenStudy (anonymous):

x-3y=3 x-3+3y

OpenStudy (anonymous):

right?

OpenStudy (anonymous):

x-3=3y

OpenStudy (ash2326):

\[3x-6y=3\] divide both sides by "3" \[x-2y=1\] ???

OpenStudy (anonymous):

oh divide by 3

OpenStudy (ash2326):

Yeah now proceed with the solving

OpenStudy (anonymous):

want me too do the second one?

OpenStudy (anonymous):

7x − 5y = −11

OpenStudy (ash2326):

We found \[x-2y=1\] So \[x=1+2y\] Substitute this in second and find the value of y

OpenStudy (anonymous):

the second one is 7x − 5y = −11

OpenStudy (ash2326):

Yeah \[ 7(1-2y)-5y=-11\]

OpenStudy (anonymous):

so what do we do with that information?

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!