Answer: Infinite solutions
Explanation:
We are given a system of equations of two linear equations. To solve for x and y, we can use the elimination method.
Given:
6x + 3y = 54
2x + y = 18
Opposite coefficients:
6x + 3y = 54
-3 * (2x + y = 18)
-
6x + 3y = 54
-6x - 3y = -54
Add the equations together:
0 + 0 = 0
Since both of the variables cancel out, but 0 does equal 0, there are infinite solutions to this system of equations.
We can also graph the given equations. Both of these equations are the same (when simplified into slope-intercept form) so they directly overlap each other. These equations can both become y = -2x + 18.