asked 155k views
4 votes
Solve the literal equation 3x - 6y = 18 for y

asked
User Enwired
by
8.6k points

2 Answers

4 votes

To solve the equation for y, simply rearrange the equation so that y is on one side, and the other terms are on the other.

Given equation :

↠ 3x - 6y = 18

First, subtract 3x from both sides :

↠ -6y = 18 - 3x

Next, divide each term by -6 :

↠ y = 18/-6 - 3x/-6 {simplify each term}

↠ y = -3 + 3/6x {reduce the fraction}

↠ y = -3 + 1/2x {swap the terms}

↠ y = 1/2x - 3

Therefore, the literal equation (solved for "y") is y = 1/2x - 3.

answered
User Murven
by
8.0k points
2 votes

Answer: y = -3 + 1/2x

Explanation:

pemdas, pemdas, pemdas. parenthesis, exponents, multiplication/division, addition/subtraction.

remember this and solving algebraic equations/expressions will become a breeze.

3x - 6y = 18

  • move the 3x over using opposite operations

-6y = 18 - 3x

  • isolate the y by dividing by -6

y = 18/-6 -3x/-6

that'll give you...

y = -3 + 1/2x

answered
User PHeath
by
8.3k points

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