Question

Solve for r.
11r + 10 = -7r - 19 - 11r

Answer 1

Add 18r to both sides.
11r+10+18r=−18r−19+18r
29r+10=−19
Subtract 10 from both sides what ru left with?

Answer 2

Simplifying
11r + 10 = -7r + -19 + -11r

Reorder the terms:
10 + 11r = -7r + -19 + -11r

Reorder the terms:
10 + 11r = -19 + -7r + -11r

Combine like terms: -7r + -11r = -18r
10 + 11r = -19 + -18r

Solving
10 + 11r = -19 + -18r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '18r' to each side of the equation.
10 + 11r + 18r = -19 + -18r + 18r

Combine like terms: 11r + 18r = 29r
10 + 29r = -19 + -18r + 18r

Combine like terms: -18r + 18r = 0
10 + 29r = -19 + 0
10 + 29r = -19

Add '-10' to each side of the equation.
10 + -10 + 29r = -19 + -10

Combine like terms: 10 + -10 = 0
0 + 29r = -19 + -10
29r = -19 + -10

Combine like terms: -19 + -10 = -29
29r = -29

Divide each side by '29'.
r = -1

Simplifying
r = -1
So now how do we know if it's right?

Answer 3

Plug it back into the equation.
11 x -1 + 10 = -7 x -1 - 19 - 11 x -1
11 x -1 + 10 = -1
-7 x -1 - 19 - 11 x -1 = -1
-1 = -1

Answer 4

Good, and that means, what?

Answer 5

The equation is true. :)

Answer 6

Sigh.

Answer 7

Fantastic! <3

Answer 8

Oh, Pooja, I didn't see you there.

Answer 9

do i get a medal for this but your answer would be 65 on both cause they both equal the same thing like for example 4=4

Answer 10

whoops wrong answer its 3>