Question

Leah is writing an equivalent equation which solves for y. What should be her next step? 3 x + 4 y = 8. 3 x minus 3 x + 4 y = 8 minus 3 x. 4 y = 8 minus 3 x.

Answer 1

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 .

$\dfrac{4y}{4}=\dfrac{8}{4}-\dfrac{3x}{4}\\\\y=2-\dfrac{3x}{4}$

Therefore , equation which solves for y is $y=2-\dfrac{3x}{4}$ .

Hence , this is the required solution .