Question

When solving the given system of equations, which statements are true?y = 9x - 18y = 3x + 12A)(5.27) is the solution.B)(27.5) is the solution.Elimination is the BEST method.D)Substitution is the BEST method.EGraphing the system is the BEST method.

Answer 1

The given system is

$\begin{gathered} y=9x-18 \\ y=3x+12 \end{gathered}$

In this case, the substitution method is the best, so let's use it

$9x-18=3x+12$

We solve for x

$\begin{gathered} 9x-3x=12+18 \\ 6x=30 \\ x=\frac{30}{6} \\ x=5 \end{gathered}$

Now, we use this value to find y

$y=3(5)+12=15+12=27$

Therefore, the solution to the system is (5,27).

The right choices are A and D.