−8x+4y=24 −7x+7y=28 What is the solution?
Mathematics · College · Tue Nov 03 2020
Answered on
Given the numerical equation:
-8x + 4y = 24
-7x + 7y = 28
Determine the solution.
Solution:
In order to determine the solution, we equate the equations into two solutions.
-8x + 4y -24 = -7x + 7y -28
Transpose the values of -7x + 7y -28 on the other side of the equation, hence we must take note that when transposing a number, the sign changes.
= -8x + 4y - 24 + 7x - 7y + 28
= -x -3y + 4
Solve for x.
= -x -3y + 4
x = -3y + 4
Solve for y
= -x -3y + 4
3y = -x + 4
y= -⅓ + 4/3
Final answer:
x = -3y + 4
y= -⅓ + 4/3