Question

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

Answer 1

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

Answer 2

not really

Answer 3

OK

Answer 4

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

Answer 5

7x=3y+25
\[x=\frac{3}{7}y+\frac{25}{7}\]

Answer 6

You then plug this into the other equation

Answer 7

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

Answer 8

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

Answer 9

Multiply by 7

Answer 10

\[6y+50+35y=665\]

Answer 11

\[41y=615, y=15\]

Answer 12

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

Answer 13

yur so kind thank you

Answer 14

You're welcome