The system of equations y=2x+6 and 3y=6x+18 has infinite solutions.
To solve the system of equations, y=2x+6 and 3y=6x+18, we can substitute the expression for y in the first equation into the second equation. This gives us 3(2x+6) = 6x+18. Simplifying, we have 6x+18 = 6x+18. This equation is true for any value of x, which means there are infinite solutions to the system of equations.
Explanation: Both equations represent the same line on a graph. The given points (2,6) and (3,6) lie on this line, which means the two equations are equivalent.
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