## anonymous 4 years ago the difference between seven times one number and three times a second number is 25. The sum of twice the first and five times the second is 95, Find the numbers

1. anonymous

7x-3y=25 2x+5y=95 System of equations, do you know how to solve?

2. anonymous

not really

3. anonymous

OK

4. anonymous

You want to solve for one variable in terms of the other.

5. anonymous

7x=3y+25 $x=\frac{3}{7}y+\frac{25}{7}$

6. anonymous

You then plug this into the other equation

7. anonymous

$2(\frac{3}{7}y+\frac{25}{7})+5y=95$

8. anonymous

$\frac{6}{7}y+\frac{50}{7}+5y=95$

9. anonymous

Multiply by 7

10. anonymous

$6y+50+35y=665$

11. anonymous

$41y=615, y=15$

12. anonymous

7x-3(15)=95 7x=140 x=20

13. anonymous

yur so kind thank you

14. anonymous

You're welcome