The linear equation which satisfies all the values shown in the table is [tex]\rm y = x + 3[/tex].
What is the linear system?
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Let the system be linear.
We know the equation of a linear system.
[tex]\rm y = mx +c[/tex]
For x =2 and y =5, then the equation will be
[tex]\rm 5 = 2m +c[/tex] ...1
For x =3 and y =6, then the equation will be
[tex]\rm 6 = 3m + c[/tex] ...2
On solving the equation 1 and 2, we have
m = 1 and c = 3
Then the equation will be
[tex]\rm y = x + 3[/tex]
Thus, the linear equation [tex]\rm y = x + 3[/tex] which satisfies all the values shown in the table.
More about the linear system link is given below.
https://brainly.com/question/20379472