which is the value of y in the system of equations 4x-5y=18 5x+y=58
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the systems of equation:
4x - 5y = 18
5x + y = 58
Determine the value of y.
Solution:
In order to determine the value of y, we simply must equate the two solutions into one single solution.
4x - 5y = 18 can be written as, 4x - 5y - 18 = 0
5x + y = 58 can be written as 5x + y - 58 = 0
4x - 5y - 18 = 5x + y - 58
Transpose 5x + y - 58 on the other side of the equation, hence we must take note that in transposing a term or a number, the sign changes.
4x -5y - 18 - 5x - y + 58 = 0
9x - 4y + 40
To solve for the value of y, we transpose -4y on the other side of the equation, and we divide both sides by 4.
4y = 9x + 40
y = 9/4x + 10
Final answer:
y = 9/4x + 10