Answer:
[tex]8y = 20x[/tex]
Step-by-step explanation:
Given
[tex]y=\dfrac{5}{2}x[/tex]
Required
Determine equivalent expressions
A. 5y = 2x
[tex]y=\dfrac{5}{2}x[/tex]
Multiply through by 5
[tex]5 * y=\dfrac{5}{2}x * 5[/tex]
[tex]5y=\dfrac{25}{2}x[/tex]
This is not equivalent
B. 8y = 20x
[tex]y=\dfrac{5}{2}x[/tex]
Multiply both sides by 8
[tex]8 *y=\dfrac{5}{2}x * 8[/tex]
[tex]8y=\dfrac{5 * 8}{2}x[/tex]
[tex]8y=\dfrac{40}{2}x[/tex]
[tex]8y = 20x[/tex]
The other options are not clear.
However, another possible relationship is when
[tex]y=\dfrac{5}{2}x[/tex]is cross multiplied
This gives:
[tex]2y = 5x[/tex]
Answer:
d= y =x
Step-by-step explanation
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