MHB Solving 4(2x-1)=3(3x+2): Step 1-3

  • Thread starter Thread starter aarce
  • Start date Start date
Click For Summary
To solve the equation 4(2x-1)=3(3x+2), the first step simplifies to 8x-4=9x+6. Rearranging the equation leads to -x=10. Multiplying both sides by -1 results in x=-10. The final solution indicates that the value of x is -10.
aarce
Messages
3
Reaction score
0
I have been given to solve:

4(2x-1)=3(3x+2)

Here is my work so far:

step 1: 8x-4=9x+6
step 2: -x=10
step 3: ?
 
Mathematics news on Phys.org
I have edited your post to include the given problem within the body of the post...this makes things more clear for everyone.

Your steps so far look perfect...what would happen if you now multiplied both sides by $-1$?
 
You just try to solve your problem like this:-
Problem: 4(2x-1)=3(3x+2)

Solution= 8x-4=9x+6
You just take the variable to one side and constant to other side
=-6-4=9x-8x
=-10=x
=x=-10
So the value of x is equal to -10.
 
Thread 'Erroneously  finding discrepancy in transpose rule'
Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
48
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K