Question 121·Easy·Algebra

In $5y - 3 = 22$, think about which operation to undo first: the $-3$ or the multiplication by 5. Use inverse operations (do the opposite) on both sides.

Once you have found $y$, substitute that number into $4y + 1$ and simplify carefully. Make sure you multiply before you add.

In a Desmos expression line, type (22 + 3) / 5 to compute the value of $y$ from the equation $5y - 3 = 22$. Note the numerical result Desmos shows.

In a new line, type 4 * (result) + 1, replacing result with the value of $y$ you just found (for example, 4 * 5 + 1 if $y=5$). The number Desmos outputs is the value of $4y + 1$.

You are not being asked to find $y$ directly. Instead, you must:

1. Solve the equation $5y - 3 = 22$ to find the value of $y$.
2. Use that value of $y$ to evaluate the new expression $4y + 1$.

Isolate $y$ in the equation $5y - 3 = 22$.

Add 3 to both sides:

Now divide both sides by 5:

So the solution to the equation is $y = 5$.

Now plug $y = 5$ into the expression $4y + 1$:

So, the value of $4y + 1$ is 21.