Question

Solve the system of equations using the eliminationmethod.6х + 3y : 20.25 and 8x + 3y = 25.75Click edit background and show your work or take apicture of the work you did on paper.

Answer 1

Given

$\begin{gathered} Eq1\colon6x+3y=20.25 \\ Eq2\colon8x+3y=25.75 \\ \\ \text{Sum both equations} \end{gathered}$

Procedure

$\begin{gathered} Eq2-Eq1 \\ 8x+3y-6x-3y=25.75-20.25 \\ 8x-6x+3y-3y=5.5 \\ 2x=5.5 \\ x=2.75 \end{gathered}$

Now for y

$\begin{gathered} y=\frac{20.25-6x}{3} \\ y=\frac{20.25-6\cdot2.75}{3} \\ y=1.25 \end{gathered}$

The answer would be x = 2.75 and y = 1.25