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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

Sagot :

Step-by-step explanation:

Let use advanced thinking.

Consider the equation,

[tex]3x + 5y = 9[/tex]

We can find it x and y intercepts.

When y=0

[tex]3x = 9[/tex]

[tex]x = 3[/tex]

and when x=0

[tex]5y = 9[/tex]

[tex]15x + 25y = 45[/tex]

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

[tex]15x = 45[/tex]

[tex]x = 3[/tex]

[tex]25y = 45[/tex]

[tex]y = \frac{45}{25} = 1.8[/tex]

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