Given the following system of equations:
6x+4y=6
6x+2y=12
Let's determine the solution by Elimination:
6x + 4y = 6
- 6x + 2y = 12
6x + 4y = 6
+ -6x - 2y = -12
0 + 2y = -6
2y/-2 = -6/2
y = -3
Therefore, y = -3.
Let's determine x by substituting y = -3 in 6x + 4y = 6.
6x + 4y = 6
6x + 4(-3) = 6
6x - 12 = 6
6x = 6 + 12
6x = 18
6x/6 = 18/6
x = 3
In Summary:
The solution of the given system of equation is x=3 and y=-3 or (3,-3). We can also say that the graph of the two equations intersects at (3,-3).
