Question

Explain

TRY: USING ALGEBRAIC STRUCTURE
If 3x + 5y = 9, what is the value of 15x + 25y?
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Explain
TRY: DETERMINING THE EFFECT OF CHANGING A VIRIABLE

Answer 1

Explanation:

Let use advanced thinking.

Consider the equation,

`3x + 5y = 9`

We can find it x and y intercepts.

When y=0

`3x = 9`

`x = 3`

and when x=0

`5y = 9`

`15x + 25y = 45`

The second equation is multiplied by 5 in everything in the first equation, so the constant is 45

Now, let prove the x and y intercepts are equal

`15x = 45`

`x = 3`

`25y = 45`

`y = (45)/(25) = 1.8`