Question

Solve 12x + 4y = 20 for y.
A. y=-3x+ 20
B. y = -12x+ 20
C. y= 12x+ 5
D. y=-3x+ 5

Answer 1

Answer:

D. y= -3x+ 5

Step-by-step explanation:

$12x + 4y = 20$

Move 12x to the right and change its sign

$4y =20-12x$

Divide through by 4

$\frac{4y}{4} = \frac{20}{4} -\frac{12x}{4} \\\\Simplify\\y = 5-3x\\y =-3x+5$

Answer 2

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{y = - 3x + 5}}}}}$

Option D is the correct option.

Step-by-step explanation:

$\sf{12x + 4y = 20}$

Move 12x to right hand side and change it's sign

⇒$\sf{4y = - 12x + 20}$

Divide both sides of the equation by 4

⇒$\sf{ \frac{4y}{y} = \frac{ - 12x + 20}{4} }$

⇒$\sf{y = \frac{ - 12x}{4} + \frac{20}{4} }$

Divide -12x by 4 . Also divide 20 by 4

⇒$\sf{y = - 3x + 5}$

Hope I helped!

Best regards!! :D