162k views
13 votes
6x-5y = 15

x=y+3

x=

y=

1 Answer

10 votes

Answer: x = 0 y = –3

Explanation:

We can solve this system by substitution.

use the second equation as a value for x.

Then substitute that value in place of x in the first equation and solve for y.

6x - 5y = 15 becomes

6(y + 3) - 5y = 15 Distribute 6 × parentheses

6y + 18 - 5y = 15 combine like terms

6y -5y + 18 = 15

y + 18 = 15 Subtract 18 from both sides.

y =15 -18

y = –3

Use this value for y in either equation to solve for x

6x - 5(-3) = 15

6x + 15 = 15 Subtract 15 from both sides, divide by 6 (seems silly!)

x = 0

OR in he second equation,

x = -3 + 3

Again, x = 0

User Vimal Dhaduk
by
3.2k points