Question

Solve the equation for y: 4x + 3y = -12

Answer 1

y=1/3*(-12-4x)

Answer 2

If you need to solve for y, the idea is to separate y in one side and all other terms in the other side!

That is accomplished as follows:

\[\Large \bf\color{#F29ECF} {4x + 3y = -12}\]
send \(4x\) to the other side to be with \(-12\), or subtract \(4x\) from both sides:
\[\Large \bf\color{#CCADD6} {4x -4x+ 3y = -12-4x}\]
SIMPLIFY::
\[\Large \bf\color{#B2B8DB} {3y = -4x-12}\]
Divide both sides be 3 to get the coefficient of \(y\) unity:
\[\Large \bf\color{#8CC7E3} {\frac{ 3y }{ 3 } = \frac{ -4x-12 }{ 3 }}\]
SIMPLIFY::
\[\Large \bf\color{#73D1E8} {y= -\frac{ 4}{ 3 }x-\frac{ 12 }{ 3 }}\]
\[\Huge \bf\color{#4DE0F0} {y= -\frac{ 4}{ 3 }x-4}\]

That is the from of the slope-intercept of a line (solved for y)




I hope I helped you.

Answer 3

You first need to get the y alone .

Answer 4

4x + 3y = -12
3y = -12 - 4x
Y= (-12-4x )/3

Answer 5

Now just finish it off . :)

Answer 6

Thanks, that really helped

Answer 7

@studybuddy26

Answer 8

Your welcome

Answer 9

Thank you for the medal, @princeharryyy and @narissa!

I appreciate!

Answer 10

:)