## anonymous one year ago Solve the following system of equations. 4x+5y = 5 8x+5y = 25 i need to find what x and y equals

1. pooja195

You need to find a common factor first 4x+5y = 5 8x+5y = 25 In this case it is -2 :) Bascially ask yourself which number will i need to multiply to get opposite x values that will cancel out $$\huge\rm\color{red}{-2(4x+5y = 5)}$$ Tell me the equation you get once you distribute

2. anonymous

-8x-10y=-10 not sure if this is right I'm kinda bad at math @pooja195

3. pooja195

Thats correct good! :D $\huge~\rm-8x-10y=-10$ $\huge~\rm~~~~~8x+5y = 25$ Now just do simple math whats $$\huge\rm\color{red}{-8+8=?}$$

4. anonymous

-8 +8 is 0 lol

5. pooja195

Good so that cancels out :) -10+5= ?

6. pooja195

Need help?

7. anonymous

-10+5 = -5???

8. pooja195

good so we have -5y=15 i added the -10+25 ok now that we have that -5y=15 we divde both sides by -5 -5 div -5=1 therefore x is alone now :P whats 15/-5 ?

9. anonymous

15/-5 = -3?

10. anonymous

@pooja195

11. pooja195

Yes thereofore our y value is -3 now we use substituion to figure out our x value $\huge~\rm −8x−10(-3)=−10$ solve for x

12. anonymous

im kinda stuck to be honest -.- I'm so bad at math

13. pooja195

$\huge~\rm~−8x−(10)(−3)=−10$ Simplify both sides of the equation. $\huge~\rm~−8x+30=−10$ Subtract 30 from both sides. $\huge~\rm~−8x+30−30=−10−30$$\huge~\rm~−8x=−40$ Divide both sides by -8 Take it from here :)

14. anonymous

so x would be 5 right ?

15. pooja195

yes! :D good job :) (5,-3)

16. anonymous

thank you so much

17. pooja195

No problem :D