Simplify 6(x + y) + (x - y). 6x 7x 7x + 6y 7x + 5y

6(x + y) + (x - y)

use distributive property

= 6x + 6y + x - y

combine like terms

= (6x + x) + (6y - y)

⇒ 7x+5y

Step-by-step explanation:

distributive property: a(b+c)=ab+ac

6(x+y)+x-y

expand

6(x+y)=6x+6y

=6x+6y+x-y

simplify by equation

6x+6y+x-y=7x+5y

=7x+5y

Hope this helps!

Thanks!

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)

you first to choose the points and then move from then as the slope you have