Given :
A linear equations :
3x+4y = 8 .
She have completed the following steps :
3x+4y = 8
3x+4y-3x = 8-3x
4y = 8 -3x
To Find :
The equivalent equation which solves for y.
Solution :
General equation of line or equation which solves for y is given by :
y = mx +c
So , our next step should be dividing both sides by 4 .
[tex]\dfrac{4y}{4}=\dfrac{8}{4}-\dfrac{3x}{4}\\\\y=2-\dfrac{3x}{4}[/tex]
Therefore , equation which solves for y is [tex]y=2-\dfrac{3x}{4}[/tex] .
Hence , this is the required solution .