## anonymous one year ago solve by using elimination.express answer as an ordered pair 2x-5y=-7 5x-3y=11

1. Michele_Laino

hint: we can multiply the first equation by 5, so the new first equation is: 10x-25y=-35 next we can multiply the second equation by 2, so we get: 10x-6y=22 then we have this equivalent system: $\Large \left\{ \begin{gathered} 10x - 25y = - 35 \hfill \\ 10x - 6y = 22 \hfill \\ \end{gathered} \right.$ now, please subtract the second equation, from the first one, what equation do you get?

2. anonymous

10x-19y=-13

3. Michele_Laino

hint: if we do that subtraction, we can write this: $\Large \left( {10x - 25y} \right) - \left( {10x - 6y} \right) = - 35 - 22$ please simplify

4. anonymous

im confused im i supposed to subtract -35 and 22

5. Michele_Laino

yes!: -35-22=-57

6. Michele_Laino

now, please simplify the left side

7. anonymous

25y and 6y = -31

8. Michele_Laino

hint: $\Large \begin{gathered} \left( {10x - 25y} \right) - \left( {10x - 6y} \right) = \hfill \\ \hfill \\ = 10x - 25y - 10x + 6y = ...? \hfill \\ \end{gathered}$

9. anonymous

-15-4=-19

10. Michele_Laino

what are -15 and -4 ?

11. anonymous

you said 10x-25y

12. Michele_Laino

here is the right step: |dw:1440873623698:dw|

13. anonymous

oooo

14. Michele_Laino

so we get this equation: $\Large - 19y = - 57$ please solve for y

15. anonymous

3

16. Michele_Laino

correct!

17. Michele_Laino

now, please replace y with 3 into the first equation of the original system, what do you get?

18. anonymous

15

19. Michele_Laino

yes! and Iwe gaet the subsequent equation: $\Large 2x - 15 = - 7$ please solve for x

20. Michele_Laino

we*

21. anonymous

4

22. Michele_Laino

correct! so the solution of your system is: x=4 y=3

23. anonymous

thank you for helping me i understand it now a little

24. Michele_Laino

:)