Anonymous

Can You Help Me Solve 4x-3y=14, 3x+4y=23?

1

1 Answers

Oddman Profile
Oddman answered
It may work well to solve this system by elimination. To eliminate y as a variable, multiply the first equation by 4 and the second by 3. Add the results.   4(4x - 3y) + 3(3x + 4y) = 4(14) + 3(23)   16x - 12y + 9x + 12y = 56 + 69    (use the distributive property to eliminate parentheses)   25x = 125    (collect terms)   x = 5    (divide by 25)  Now, we can use this to find y. Substituting into the second equation, we get   3(5) + 4y = 23    (put 5 where x was in the equation)   4y = 8    (subtract 15 from both sides)   y = 2    (divide by 4)  The solution is (x, y) = (5, 2).  Check   4(5) - 3(2) = 14   20 - 6 = 14    (first equation checks)    3(5) + 4(2) = 23   15 + 8 = 23    (second equation checks)

Answer Question

Anonymous