Question 268447
The sum of 3 times a number and 4 times another number is 43
translates to
(i) {{{3x + 4y = 43}}}
Five times the first number is 3 less than four times the opposite of the second number
translates to
(ii) {{{5x = 4(-y) - 3}}}
step 1 - rewrite (ii) so that x and y are on the same side to get
(iii) {{{5x + 4y = -3}}}
step 2 - multiply (iii) by -1 to get
(iv) {{{-5x - 4y = 3}}}
step 3 - add (i) and (iv) to get
(v) {{{-2x = 46}}}
step 4 - divide to get
(vi) {{{ x = -23}}}
Step 5 - solve for y to get
{{{y = 28}}}