Solve the system of equation using the elimination method. show your work. make sure to express your solution as an ordered pair

Question

asked Nov 21, 2023 38.0k views

1 Answer

Russt · Answer 1 · 2023-11-26T13:28:08+0000

We have the next system of equations

$\begin{gathered} 2x+3y=15 \\ x-3y=3 \end{gathered}$

In order to solve the system of equations by elimination, we need to sum the equations

then we sum like terms

then we isolate the x

x=6

Then we substitute the value of x in the second equation

$\begin{gathered} x-3y=3 \\ 6-3y=3 \\ \end{gathered}$

then we isolate the y

$\begin{gathered} -3y=3-6 \\ -3y=-3 \\ y=(-3)/(-3) \\ y=1 \end{gathered}$

The solution of the system of equation is

x=6

y=1