Verified Answer :

y = 2x + 1

Exp:

16x + 9 = 9y - 2x
+ 2x + 2x

18x + 9 = 9y
/9 / 9

2x + 1 = y

Is the same as: y = 2x + 1

Answer:

The value of the provided equation for y is \(y=2x+1\).

Step-by-step explanation:

Consider the provided equation.

\(16x+9=9y-2x\)

We need to solve the equation for y.

Add 2x from both the sides.

\(16x+9+2x=9y-2x+2x\)

Add the like terms.

\(18x+9=9y\)

Divide both the sides by 9.

\(\frac{18x+9}{9}=\frac{9y}{9}\)

\(\frac{9(2x+1)}{9}=y\)

\(y=2x+1\)

Hence, the value of the provided equation for y is \(y=2x+1\).