solve the system 2x + 3y = -6 and 3x - 2y = 11
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
2x + 3y = -6 or 2x + 3y + 6
3x - 2y = 11 or 3x - 2y - 11
Solve the system.
Solution:
Equate the given numerical equation into one solution. Then solve for the value of x and y separately.
2x + 3y + 6 = 3x - 2y - 11
Solve for x.
Transpose -2y -11 and 2x on their opposite sides of the equation, hence it must be taken to note that when transposing a number, the sign changes.
3y + 6 + 2y + 11 = 3x -2x
5y + 17 = x
x = 5y + 17
Solve for y.
Do the same process as before when transposing, this time transpose 2x + 6 and -2y on their opposite sides of the equation.
3y + 2y = 3x - 11 - 2x - 6
5y = x - 17
y = (x -17)/5
Final answer:
x = 5y + 17
y = (x -17)/5