y 7 4y

The problem you're presenting looks like a system of equations based on a matrix format. To solve for $x$, $y$, $z$, and $w$, I'll need to translate the grid into equations. From the matrix, I can identify several relationships between the variables. Let's break it down row by row:

First row:

$x \quad 9 \quad (2x - 1)$

Second row:

$y \quad 7 \quad 4y$

Third row:

$(2x - 5) \quad z \quad 9$

Fourth row:

$5 \quad (w + 1) \quad (3y + 5)$

These give us the following equations from the entries that appear to be related:

1. $x = 9$
2. $y = 7$
3. $2x - 5 = z$
4. $w + 1 = 3y + 5$

Step-by-step solution:

Step 1: Solve for $x$

From the first equation: $x = 9$

Step 2: Solve for $y$

From the second equation: $y = 7$

Step 3: Solve for $z$

Now substitute $x = 9$ into the third equation: $2x - 5 = z$ $2(9) - 5 = z$ $18 - 5 = z$ $z = 13$

Step 4: Solve for $w$

Now substitute $y = 7$ into the fourth equation: $w + 1 = 3y + 5$ $w + 1 = 3(7) + 5$ $w + 1 = 21 + 5$ $w + 1 = 26$ $w = 25$

Final answers:

• $x = 9$
• $y = 7$
• $z = 13$
• $w = 25$

Would you like further details or clarification on any of these steps?

Here are 5 related questions:

1. What are the steps for solving a system of linear equations in two variables?
2. Can matrix operations be used to solve a similar system?
3. How does substitution work in solving systems of equations?
4. What are the key methods for solving systems of equations?
5. How do you interpret a system of nonlinear equations?

Tip: Always check your solutions by plugging them back into the original equations to ensure correctness.