Mathematics

Elimination works by strategically multiplying one or both equations so that a variable has equal (or opposite) coefficients, then adding or subtracting to cancel it out. Here, the $x$ and $y$ coefficients don't line up yet—multiply the first equation by 2 and the second by 3 to make the $x$ terms both equal 6, then subtract to eliminate $x$ and solve for $y$.

Elimination works by strategically multiplying one or both equations so that a variable has equal (or opposite) coefficients, then adding or subtracting to cancel it out. Here, the $x$ and $y$ coefficients don't line up yet—multiply the first equation by 2 and the second by 3 to make the $x$ terms both equal 6, then subtract to eliminate $x$ and solve for $y$.