Answer:
x = 2
y = 5
Step-by-step explanation:
We can say:
7 corresponds to y
(3 + 7.5) corresponds to 7.5
Plus, we can write a ratio
[tex] \frac{7}{y} = \frac{3 + 7.5}{7.5} [/tex]
[tex] \frac{7}{y} = \frac{10.5}{7.5} [/tex]
Cross multiplying, we can solve for "y",
[tex] \frac{7}{y} = \frac{10.5}{7.5} [/tex]
[tex] \frac{7}{y} = 7 \times 7.5[/tex]
y = 5
Again, using similarly, we can say:
(x + 5) corresponds to 5
(3 + 7.5 = 10.5) corresponds to 7.5
We can write a ratio:
[tex] \frac{x + 5}{5} = \frac{10.5}{7.5} [/tex]
Cross multiplying and with the help of a but algebra, we can solve for "x", shown below:
7.5( x + 5) = 5 x 10.5
7.5x + 37.5 = 52.5
7.5x = 15
x = 2
