Option D
The system of equation has no solution
Solution:
Given system of equations:
[tex]\frac{2}{3}x + y = 6\\\\Simplify\\\\2x + 3y = 18 ------ eqn 1[/tex]
[tex]\frac{-2}{3}x -y = 2\\\\Simplify\\\\-2x -3y = 6 ------- eqn 2[/tex]
Solve eqn 1 and eqn 2
Add eqn 1 and eqn 2
2x + 3y -2x - 3y = 18 + 6
2x + 3y = 2x + 3y + 18 + 6
[tex]0\neq 24[/tex]
If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur.
No solution would mean that there is no answer to the equation
Thus the system of equation has no solution
