To use the process of elimination to solve the given system of equations, we can eliminate one variable at a time by adding or subtracting the equations.
First, we can eliminate the variable "x" by subtracting the two equations:
(3x + 3y) - (18 - 7x - 9y) = 0 - 18
3x + 3y - 18 + 7x + 9y = -18
10x + 12y = 0
Now we have one equation with only the variable "y" remaining.
Next, we can eliminate the variable "y" by adding the two equations:
(10x + 12y) + (18 - 7x - 9y) = 0 + 18
10x + 12y + 18 - 7x - 9y = 18
3x + 3y + 18 = 18
3x + 3y = 0
We can observe that the equation "3x + 3y = 0" is same as the first equation "3x + 3y = 0". Therefore, the system of equations is dependent and has infinitely many solutions.
use process of elimination: 3x+3y=0 and minus, 7, x, minus, 9, y, equals, 18−7x−9y=18
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