The given problem involves a system of equations with two variables, x and y. We know that xy = 144 and x + y = 30, with the condition that x > y. To find the value of x - y, we can solve for one variable in terms of the other using one equation and then substitute back into the other equation.
Let's express y in terms of x using the equation x + y = 30: y = 30 - x
Now substitute this expression for y into the equation xy = 144: x(30 - x) = 144 30x - x² = 144 x² - 30x + 144 = 0
Factoring the quadratic equation, we get: (x - 12)(x - 18) = 0
This gives us two solutions for x: x = 12 or x = 18. However, since we know x > y, x must be the larger value, so x = 18.
Substituting x back into the expression for y we have: y = 30 - 18 y = 12
Therefore, the value of x - y is: 18 - 12 = 6
The correct answer is G. 6.
The solution to the equations x y = 144 and x + y = 30 gives x = 18 and y = 12 . Therefore, x − y = 6 . The correct answer is option B.
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Jawaban:21Penjelasan dengan langkah-langkah:3% dari 700 adalah[tex] \frac{3}{100| } \times 700 = 21 \\ [/tex]
Jawaban:21Penjelasan dengan langkah-langkah:3% dari 700 maka 3% x 7003% = 3/1003% x 700 =3/100 x 700= 3 x 7 = 21