Given a two-way table as shown in the following picture:
As shown in the table, we need to find the variables from x to w
So, we can deduce the following relations:
From the first column:
![\begin{gathered} x+2=18 \\ x=18-2=16 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/taijghjn4584xkdxvng2zztmnkw2mbxfi0.png)
And, from the fourth column:
![\begin{gathered} z+20=50 \\ z=50-20=30 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/diu8ms8amm9swmt53a3na3pt34i9obpw8m.png)
And, from the first row:
![x+6+y=z](https://img.qammunity.org/2023/formulas/mathematics/college/84kli1bhed91p6dny3vpsb4nyu9vnwe6q9.png)
Substitute with x and z to find y
![\begin{gathered} 16+6+y=30 \\ 22+y=30 \\ y=30-22=8 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/fwefr7uo0nc3brnviohloc4s1n8vrmvakm.png)
And
![\begin{gathered} 2+v+8=20 \\ v+10=20 \\ v=20-10=10 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/93azs0in495ijae7kkekry8st0lrdlgpnr.png)
u = w = 16