what is the value of 6x=5y- 35
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the equation:
6x = 5y - 35
Determine the value of x and y separately.
Solution:
In order to determine the value of x, we simply need to divide both sides by 6, this will cancel out 6x, leaving behind x.
6x/6 = (5y - 35)/6
x = 5/6y - 35/6
In order to determine the value of y, we simply need to transpose -35 to the other side of the equation. Hence it must be taken to note that in transposing a number, the sign changes.
6x = 5y - 35
5y = 6x + 35
Divide both sides by 5 in order to determine the value of y.
5y/5 = (6x + 35)/5
y = 6/5x + 7
Final answer:
x = 5/6y - 35/6
y = 6/5x + 7