can somebody help me?????Solve the system.
y = -1/3 x + 2 and x + 3y = 3

(0, 1)
(1, 0)
(3, 1/3)
(3/2, 0)
no solution

Question

can somebody help me?????Solve the system.
y = -1/3 x + 2 and x + 3y = 3
 
    (0, 1) 
   (1, 0) 
   (3, 1/3) 
   (3/2, 0) 
   no solution

calculusfunctions · Answer

Substitute equation 1 into equation 2.  In other words, replace the y  in the second equation with the right side of the first equation.  So you have$$x +3(-\frac{ 1 }{ 3 }x +2)=3$$Now solve for  x  and then substitute the  x  value  back into either equation and solve for  y.

calculusfunctions · Answer

You will find that there is no such x value here.

anonymous · Answer

wait so you mixed the equations?

calculusfunctions · Answer

If by mix you mean substitute, then yes.

anonymous · Answer

so substirtute the possible answers for the equations?

aripotta · Answer

he substituted for y and then tried to solve for x. however, there is no answer for x. so there's no solution

calculusfunctions · Answer

Since y is isolated in equation 1, it makes sense to replace the y in equation 2 with whatever  y equals in equation 1.

anonymous · Answer

so you changed the equation to y=mx+b and then solved for x?

aripotta · Answer

no. in the first equation, y was already solved for in terms of x. so he substituted that into the second equation

anonymous · Answer

i must sound really stupid but can you like show me the steps that you did that?

calculusfunctions · Answer

I did above. Did you see?

aripotta · Answer

x + 3y = 3
x + 3(-1/3 x + 2) = 3

calculusfunctions · Answer

That's exactly what I did.

aripotta · Answer

once you distribute...

x + 3(-1/3 x + 2) = 3
x - x + 6 = 3
6 = 3

which isn't correct...so there's no answer for x

calculusfunctions · Answer

Yes, Very good!

aripotta · Answer

does that make sense, emma?

anonymous · Answer

i think so thanks peoples im havng trouble figuring out who to give the medal too though

aripotta · Answer

doesn't matter to me

calculusfunctions · Answer

x - x + 6 = 3
     x - x = 3 - 6
         0x = -3
           x = -3/0

But a number divided by zero is undefined so there is no solution.

calculusfunctions · Answer

A medal is not what's important. What matters is do you understand what we just taught you?

anonymous · Answer

yes much better now:)

anonymous · Answer

thank you

calculusfunctions · Answer

Great! Then I feel a sense of accomplishment!

anonymous · Answer

:)

calculusfunctions · Answer

Do you need help with anything else?

calculusfunctions · Answer

I guess not. Have a great holiday and stay safe.

anonymous · Answer

oh thanks