Question Solve the linear equation $3y + 22 - 15y = 0$ for the value of $y$ .

Studdy Solution

STEP 1

Assumptions
1. The given equation is $3y + 22 - 15y = 0$ .
2. We need to solve for the variable $y$ .

STEP 2

Combine like terms on the left side of the equation. Like terms are terms that contain the same variable raised to the same power.
$3y - 15y + 22 = 0$

STEP 3

Subtract $15y$ from $3y$ to simplify the equation.
$-12y + 22 = 0$

STEP 4

Subtract $22$ from both sides of the equation to isolate the term with the variable $y$ on one side.
$-12y = -22$

STEP 5

Divide both sides of the equation by $-12$ to solve for $y$ .
$y = \frac{-22}{-12}$

STEP 6

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ .
$y = \frac{-22 / 2}{-12 / 2}$

STEP 7

Complete the simplification to find the value of $y$ .
$y = \frac{11}{6}$
The solution to the equation $3y + 22 - 15y = 0$ is $y = \frac{11}{6}$ .

Was this helpful?

Question Solve the linear equation $3y + 22 - 15y = 0$ for the value of $y$ .

Studdy Solution

STEP 1

Assumptions
1. The given equation is $3y + 22 - 15y = 0$ .
2. We need to solve for the variable $y$ .

STEP 2

Combine like terms on the left side of the equation. Like terms are terms that contain the same variable raised to the same power.
$3y - 15y + 22 = 0$

STEP 3

Subtract $15y$ from $3y$ to simplify the equation.
$-12y + 22 = 0$

STEP 4

Subtract $22$ from both sides of the equation to isolate the term with the variable $y$ on one side.
$-12y = -22$

STEP 5

Divide both sides of the equation by $-12$ to solve for $y$ .
$y = \frac{-22}{-12}$

STEP 6

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ .
$y = \frac{-22 / 2}{-12 / 2}$

STEP 7

Complete the simplification to find the value of $y$ .
$y = \frac{11}{6}$
The solution to the equation $3y + 22 - 15y = 0$ is $y = \frac{11}{6}$ .

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.

Question Solve the linear equation 3y+22−15y=03y + 22 - 15y = 03y+22−15y=0 for the value of yyy.

Studdy Solution

STEP 1

Assumptions1. The given equation is 3y+22−15y=03y + 22 - 15y = 03y+22−15y=0.2. We need to solve for the variable yyy.

STEP 2

Combine like terms on the left side of the equation. Like terms are terms that contain the same variable raised to the same power.3y−15y+22=03y - 15y + 22 = 03y−15y+22=0

STEP 3

Subtract 15y15y15y from 3y3y3y to simplify the equation.−12y+22=0-12y + 22 = 0−12y+22=0

STEP 4

Subtract 222222 from both sides of the equation to isolate the term with the variable yyy on one side.−12y=−22-12y = -22−12y=−22

STEP 5

Divide both sides of the equation by −12-12−12 to solve for yyy.y=−22−12y = \frac{-22}{-12}y=−12−22​

STEP 6

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 222.y=−22/2−12/2y = \frac{-22 / 2}{-12 / 2}y=−12/2−22/2​

STEP 7

Complete the simplification to find the value of yyy.y=116y = \frac{11}{6}y=611​The solution to the equation 3y+22−15y=03y + 22 - 15y = 03y+22−15y=0 is y=116y = \frac{11}{6}y=611​.

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.

Question Solve the linear equation $3y + 22 - 15y = 0$ for the value of $y$ .

Assumptions
1. The given equation is $3y + 22 - 15y = 0$ .
2. We need to solve for the variable $y$ .

Combine like terms on the left side of the equation. Like terms are terms that contain the same variable raised to the same power.
$3y - 15y + 22 = 0$

Subtract $15y$ from $3y$ to simplify the equation.
$-12y + 22 = 0$

Subtract $22$ from both sides of the equation to isolate the term with the variable $y$ on one side.
$-12y = -22$

Divide both sides of the equation by $-12$ to solve for $y$ .
$y = \frac{-22}{-12}$

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ .
$y = \frac{-22 / 2}{-12 / 2}$

Complete the simplification to find the value of $y$ .
$y = \frac{11}{6}$
The solution to the equation $3y + 22 - 15y = 0$ is $y = \frac{11}{6}$ .