Answer
This system has no solution.
Work Step by Step
$3x+6y=15$
$2x+4y=3$
To equate the coefficients, multiply both sides of the first equation by 2.
$2(3x+6y)=2(15)\longrightarrow$ Simplify. Apply the distributive property.
$6x+12y=30$
To equate the coefficients, multiply both sides of the second equation by 3.
$3(2x+4y)=3(3)\longrightarrow$ Simplify. Apply the distributive property.
$6x+12y=9$
Subtract the two new equations.
$\ \ \ \ 6x+12y=30$
$\underline{-(6x+12y=9)}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0=21$
Since solving the system of equations results in a false statement, the system has no solution.