## anonymous one year ago Solve the system algebraically. Check your work. 5x + 2y = 10 3x + 2y = 6

1. arindameducationusc

i m here

2. anonymous

x=2 y=0

3. UsukiDoll

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.

4. UsukiDoll

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

5. anonymous

oh ok..

6. anonymous

Try using matrix method. It works everytime.

7. arindameducationusc

Check this

8. UsukiDoll

for some reason matrix method is taught way later :(

9. anonymous

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

10. arindameducationusc

x John can find out now, what say guys?

11. UsukiDoll

?

12. arindameducationusc

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

13. arindameducationusc

14. UsukiDoll

oh XD

15. anonymous

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