Question

Solve for y: 2x+3y=15

Answer 1

$\huge \fbox \red{Answer}$

2x + 3y = 15

3y = 15 - 2x

y = 15 - 2x/3

Answer 2

Answer:

$\huge\boxed{y=5-\frac{2}{3}x}$

Step-by-step explanation:

With the equation $\displaystyle 2x+3y=15$, we can solve for y by algebraically manipulating the question until we have y isolated on one side.

It's important to note that if we do something to one side, we have to do it to another. Just as $5=5$, adding two to both sides still makes it true $5+2=5+2, 7=7$.

• $2x+3y=15$
• $\displaystyle \frac{2x}{3} + \frac{3y}{3} = \frac{15}{3}$
• $\displaystyle \frac{2}{3}x+y=5$
• $\displaystyle \frac{2}{3}x - \frac{2}{3}x +y=5 - \frac{2}{3}x$
• $\displaystyle y = 5 - \frac{2}{3}x$

Therefore, this equation for y is $\displaystyle y = 5 - \frac{2}{3}x$ .

Hope this helped!