help me math
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
@fredloser do you know how to solve a system of equations?
a little
Which method we can use here?
the easy version :)
I meant 1) Substitution 2) Elimination Pick the easy one
A
Ok, do you know how should we proceed?
subtract part 1 from part 2?
No that would be elimination
oh
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
*2y
x-3y=3
right?
Check again!
ok
can you make an example problem please
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 \[x=16\]
@fredloser do you understand?
yes
Now try this here, :)
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
x-3y=3 x-3+3y
right?
x-3=3y
\[3x-6y=3\] divide both sides by "3" \[x-2y=1\] ???
oh divide by 3
Yeah now proceed with the solving
want me too do the second one?
7x − 5y = −11
We found \[x-2y=1\] So \[x=1+2y\] Substitute this in second and find the value of y
the second one is 7x − 5y = −11
Yeah \[ 7(1-2y)-5y=-11\]
so what do we do with that information?
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