SOLUTION: The sum of 3 times a number and 4 times another number is 43. Five times the first number is 3 less than four times the opposite of the second number. Find the numbers.

Question 268447: The sum of 3 times a number and 4 times another number is 43. Five times the first number is 3 less than four times the opposite of the second number. Find the numbers.
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
The sum of 3 times a number and 4 times another number is 43
translates to
(i)
Five times the first number is 3 less than four times the opposite of the second number
translates to
(ii)
step 1 - rewrite (ii) so that x and y are on the same side to get
(iii)
step 2 - multiply (iii) by -1 to get
(iv)
step 3 - add (i) and (iv) to get
(v)
step 4 - divide to get
(vi)
Step 5 - solve for y to get

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