QuestionSolve the equation: $19r + 2 + 17r = 13r + 2$ . Simplify fractions and find $r$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $19r + +17r =13r +$ . . We need to solve for $r$ .

STEP 2

First, we need to simplify the equation by combining like terms on both sides.
$19r +17r =13r +2 -2$

STEP 3

Now, simplify the left side of the equation.
$36r =13r$

STEP 4

Next, we need to isolate $r$ on one side of the equation. We can do this by subtracting $13r$ from both sides of the equation.
$36r -13r =0$

STEP 5

Now, simplify the left side of the equation.
$23r =0$

STEP 6

Next, we need to isolate $r$ on one side of the equation. We can do this by subtracting $2$ from both sides of the equation.
$23r -2 =0 -2$

STEP 7

Now, simplify the left side of the equation.
$23r = -2$

STEP 8

Finally, to solve for $r$ , we need to divide both sides of the equation by $23$ .
$r = \frac{-2}{23}$ So, $r = -\frac{2}{23}$ .

Was this helpful?

QuestionSolve the equation: $19r + 2 + 17r = 13r + 2$ . Simplify fractions and find $r$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $19r + +17r =13r +$ . . We need to solve for $r$ .

STEP 2

First, we need to simplify the equation by combining like terms on both sides.
$19r +17r =13r +2 -2$

STEP 3

Now, simplify the left side of the equation.
$36r =13r$

STEP 4

Next, we need to isolate $r$ on one side of the equation. We can do this by subtracting $13r$ from both sides of the equation.
$36r -13r =0$

STEP 5

Now, simplify the left side of the equation.
$23r =0$

STEP 6

Next, we need to isolate $r$ on one side of the equation. We can do this by subtracting $2$ from both sides of the equation.
$23r -2 =0 -2$

STEP 7

Now, simplify the left side of the equation.
$23r = -2$

STEP 8

Finally, to solve for $r$ , we need to divide both sides of the equation by $23$ .
$r = \frac{-2}{23}$ So, $r = -\frac{2}{23}$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the equation: 19r+2+17r=13r+219r + 2 + 17r = 13r + 219r+2+17r=13r+2. Simplify fractions and find rrr.

Studdy Solution

STEP 1

Assumptions1. The given equation is 19r++17r=13r+19r + +17r =13r +19r++17r=13r+. . We need to solve for rrr.

STEP 2

First, we need to simplify the equation by combining like terms on both sides.19r+17r=13r+2−219r +17r =13r +2 -219r+17r=13r+2−2

STEP 3

Now, simplify the left side of the equation.36r=13r36r =13r36r=13r

STEP 4

Next, we need to isolate rrr on one side of the equation. We can do this by subtracting 13r13r13r from both sides of the equation.36r−13r=036r -13r =036r−13r=0

STEP 5

Now, simplify the left side of the equation.23r=023r =023r=0

STEP 6

Next, we need to isolate rrr on one side of the equation. We can do this by subtracting 222 from both sides of the equation.23r−2=0−223r -2 =0 -223r−2=0−2

STEP 7

Now, simplify the left side of the equation.23r=−223r = -223r=−2

STEP 8

Finally, to solve for rrr, we need to divide both sides of the equation by 232323.r=−223r = \frac{-2}{23}r=23−2​So, r=−223r = -\frac{2}{23}r=−232​.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the equation: $19r + 2 + 17r = 13r + 2$ . Simplify fractions and find $r$ .

Assumptions1. The given equation is $19r + +17r =13r +$ . . We need to solve for $r$ .

First, we need to simplify the equation by combining like terms on both sides.
$19r +17r =13r +2 -2$

Now, simplify the left side of the equation.
$36r =13r$

Next, we need to isolate $r$ on one side of the equation. We can do this by subtracting $13r$ from both sides of the equation.
$36r -13r =0$

Now, simplify the left side of the equation.
$23r =0$

Next, we need to isolate $r$ on one side of the equation. We can do this by subtracting $2$ from both sides of the equation.
$23r -2 =0 -2$

Now, simplify the left side of the equation.
$23r = -2$

Finally, to solve for $r$ , we need to divide both sides of the equation by $23$ .
$r = \frac{-2}{23}$ So, $r = -\frac{2}{23}$ .