Question

Solve the system algebraically. Check your work.

5x + 2y = 10
3x + 2y = 6

Answer 1

i m here

Answer 2

x=2 y=0

Answer 3

the y's seems to be the same
so we can distribute a negative sign all over one equation and use elimination method to solve for x.

Answer 4

@saseal please don't give direct answers as it's a violation of OpenStudy's Code of Conduct.

Answer 5

oh ok..

Answer 6

Try using matrix method. It works everytime.

Answer 7

Check this

Answer 8

for some reason matrix method is taught way later :(

Answer 9

Yea, they are saving the best for the last lol.

Answer 10

x John can find out now, what say guys?

Answer 11

?

Answer 12

Y is in the solution I gave, now x he can easily find out by putting in the equation

Answer 13

oh XD

Answer 14

\[A=\left[\begin{matrix}5 & 2 \\ 3 & 2\end{matrix}\right]\]
\[B = \left(\begin{matrix}x \\ y\end{matrix}\right)\]
\[C = \left(\begin{matrix}10 \\ 6\end{matrix}\right)\]
\[A ^{-1} = \left[\begin{matrix}0.5 & -0.5 \\ -0.75 & 1.25\end{matrix}\right]\]
\[A ^{-1}C = B = \left[\begin{matrix}0.5 & -0.5 \\ -0.75 & 1.25\end{matrix}\right] \left(\begin{matrix}10 \\ 6\end{matrix}\right) = Find out yourself :)\]