the product of two numbers is 450. the first number is half the second number. which equation can be used to find x, the greater number?

xy = 450

y = x/2 => x=2y substituted inside first equation will get 2y*y=450 => y^2 = 225

y=15 because 15*15=225

x=2y so x=2*15 = 30

x=30
y=15

hope this will help you

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ApusApus ApusApus · Answer 2 · 2019-09-02T17:48:30+02:00

Answer:

[tex]\frac{1}{2}y\cdot y=450[/tex]

Step-by-step explanation:

Let x represent 1st number and y represent 2nd number.

We have been given that the product of two numbers is 450. We can represent this information in an equation as:

[tex]x\cdot y=450...(1)[/tex]

We are also told that the first number is half the second number. We can represent this information in an equation as:

[tex]x=\frac{1}{2}y...(2)[/tex]

To solve for greater number ,y, we will substitute equation (2) in equation (1) as:

[tex]\frac{1}{2}y\cdot y=450[/tex]

Therefore, our required equation would be [tex]\frac{1}{2}y\cdot y=450[/tex].