Question

What is the x-coordinate that describes the solution to the following system? 2x + y = 72 3y = 48A. = 28B. = 16C. = 17D. = 36

Answer 1

We have to solve the system of equations for x. The equations are:

$\begin{gathered} 2x+y=72 \\ 3y=48 \end{gathered}$

In this case, we can replace y using the second equation and then solving for x in the first equation.

We find y as:

$\begin{gathered} 3y=48 \\ y=\frac{48}{3} \\ y=16 \end{gathered}$

Then, we replace y in the first equation and we wlll obtain:

$\begin{gathered} 2x+y=72 \\ 2x+16=72 \\ 2x=72-16 \\ 2x=56 \\ x=\frac{56}{2} \\ x=28 \end{gathered}$

Answer: x = 28 [Option A]