Question

Зная, что x + 3y = 8 найдите ( 2x - 6y ) : ( 0,25x^2 -2,25y^2 ) .

Answer 1

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Answer 2

To find the value of (2x - 6y) : (0.25x^2 - 2.25y^2) using the given equation x + 3y = 8, we need to first substitute the value of x in terms of y from the given equation.

Step 1: Find the value of x in terms of y from the equation x + 3y = 8: x = 8 - 3y

Step 2: Now, we can substitute the value of x in the expression (2x - 6y) : (0.25x^2 - 2.25y^2): (2(8 - 3y) - 6y) : (0.25(8 - 3y)^2 - 2.25y^2)

Step 3: Simplify the expression:

(2(8 - 3y) - 6y) : (0.25(64 - 48y + 9y^2) - 2.25y^2)

(16 - 6y - 6y) : (0.25(64 - 48y + 9y^2) - 2.25y^2)

(16 - 12y) : (0.25 * (64 - 48y + 9y^2) - 2.25y^2)

(16 - 12y) : (16 - 12y + 2.25y^2 - 2.25y^2)

Step 4: Now, the terms with y^2 cancel out, and we get:

(16 - 12y) : (16 - 12y)

Step 5: Finally, we can simplify further, as the terms with y cancel out:

1

So, the result of (2x - 6y) : (0.25x^2 - 2.25y^2) is 1.