QuestionSolve and verify the equation: $-2y + 4 = 33y - 3$ .

Studdy Solution

STEP 1

Assumptions1. The equation is linear in nature. . The variable y is real.

STEP 2

First, we need to bring all the terms involving y to one side of the equation. We can do this by adding2y to both sides of the equation.
$-2y +2y +4 =33y - +2y$

STEP 3

implify the equation.
$=35y -3$

STEP 4

Next, we need to isolate the y term. We can do this by adding3 to both sides of the equation.
$4 +3 =35y -3 +3$

STEP 5

implify the equation.
$7 =35y$

STEP 6

Finally, we need to solve for y. We can do this by dividing both sides of the equation by35.
$\frac{}{35} = \frac{35y}{35}$

STEP 7

implify the equation.
$y = \frac{1}{5}$

STEP 8

Now, we need to check our solution. We can do this by substituting y =1/5 into the original equation.
$-2(\frac{1}{5}) +4 =33(\frac{1}{5}) -3$

STEP 9

implify the equation.
$-\frac{2}{5} +4 = \frac{33}{5} -3$

STEP 10

Convert the whole numbers to fractions with denominator5.
$-\frac{2}{5} + \frac{20}{5} = \frac{33}{5} - \frac{15}{5}$

STEP 11

implify the equation.
$\frac{18}{5} = \frac{18}{5}$ Since both sides of the equation are equal, our solution is correct. The solution to the equation is y =/5.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

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

Parents Influencer program Contact Policy Terms