Using cross multiplication, which of the following is the solution to 2/(x-7) = 3/(x-5)? A.-31 B.11 C.-11 D.31
Mathematics · High School · Tue Nov 03 2020
Answered on
Given:
2/(x-7)= 3/(x-5)
Determine the solution.
Solution:
In order to find the answer or the solution, we must cross multiply the given equation.
2/(x-7)= 3/(x-5)
2(x-5)=3(x-7)
Distribute the values of 2 and 3 to each value inside their corresponding parenthesis.
2x - 10 = 3x - 21
Transpose 2x and -21 to their opposite sides, hence we must take note that in transposing a number, the sign changes.
3x - 2x = 21 - 10
x = 11
Final answer:
x = 11