Given the equation 9x+3/4 y=6 and 2x+1/2 y=9, by what factor would you multiply the second equation to eliminate y and solve the system through linear combinations?

-4/9

-3/4

-3/2

-7/2

To eliminate a cariable in a system of equations, we multiply the variable by a factor that will make both coefficients of the variable to be equal.

Thus, we multiply the coefficient of y in the second equation by a factor that will make it equal to the coefficient of y in the first equation. i. e. multiply 1/2 by a factor that makes it equal to 3/4. and the factor is 3/2.

Therefore, the third option is the correct answer.