Question

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

Answer 1

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.