3x+2y=-16 -3x-8y=46 Find the solution of the system of equations
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the systems of equation:
3x+2y=-16
-3x-8y=46
Determine the solution.
Solution:
Rewrite first all the numbers into one side of the equation, so that we can easily equate them into one single solution.
3x + 2y = -16
3x + 2y + 16 = 0
-3x - 8y = 46
-3x - 8y - 46 = 0
Equate in one solution.
3x + 2y + 16 = -3x - 8y - 46
Transpose -3x - 8y - 46 on the other side of the equation, note that when transposing a number, the sign changes.
3x + 2y + 16 +3x + 8y + 46 = 0
6x + 10y + 62 =0
Solve for x and y separately.
x
6x = -10y - 62
x = -5/3y - 31 / 3
y
10y = -6x -62
y = -3/5x - 31/5
Final answer:
y = -3/5x - 31/5
x = -5/3y - 31 / 3