Final answer:
To find x when y=14 and y=7 when X=8, a proportion is set up and solved using cross-multiplication, resulting in x=16.
Step-by-step explanation:
Finding x when y=14, given that when X=8, y=7 involves applying the concept of linear equations and relationships between variables. If we're working on the assumption that the relationship between x and y is consistent, we can set up a proportion based on the given values: y1/y2 = x1/x2. To find 'x', when 'y' is known, we use the cross-multiplication property, wherein we multiply the cross terms and solve the resulting equation for the unknown variable. Hence:
y1/x1 = y2/x2
7/8 = 14/x
7x = 8*14
7x = 112
x = 112/7
x = 16
Therefore, x=16 when y=14, assuming a direct proportional relationship between x and y.