Question

3x+4y=12 what is the equation when solved for y

Answer 1

y = - (3/4)x + 3

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Given equation:

• 3x + 4y = 12

Solve it for y in below steps:

• 4y = 12 - 3x Isolate the term with y
• y = (12 - 3x)/4 Divide both sides by 4
• y = 3 - (3/4)x Distribute
• y = - (3/4)x + 3 Rearrange

Answer 2

`{\underline{\boxed{\pmb{y = (12 - 3x)/(4) }}}}`

Explanation:

`\sf 3x + 4y = 12`

rearranging the equation, we get

`\sf 4y = 12 - 3x`

Dividing both sides of the equation by 4,

`\sf (4y)/(4) = (12 - 3x)/(4)`

`{\boxed{\sf {y = \frac {12 - 3x}{4}}}}`

Hence, the equation when solved for y is 12 - 3x/4