Question

X+y+z=102 x÷y=4÷9 y÷z=3÷7 как решить? помогите!

Answer 1

Х+y+z=102
x/y=4/9
y/z=3/7
Находим х во втором и z в третьем уравнении:
х=4у/9
z=7y/3
Подставляем значения х и z в первое уравнение:
(4у/9)+(7у/3)+у=102
12у+63у+27у=2754
у=2754÷102
у=27
х=27×4/9=12
z=27×7/3=63
Ответ: х=12; у=27; z=63.

Answer 2

X:y=4:9
X=4y:9
y:z=3:7
z=7y:3
4y:9+y+7y:3=102
4y+9y+21y=918
34y=918
y=27
X=4×27:9=12
Z=7×27:3=63

Answer 3

Solving the Equations

To solve the given system of equations: - x + y + z = 102 - x ÷ y = 4 ÷ 9 - y ÷ z = 3 ÷ 7

We can use the given information to find the values of x, y, and z.

First, let's solve the equation x ÷ y = 4 ÷ 9 to find the relationship between x and y.

Solving x ÷ y = 4 ÷ 9

To solve for x and y, we can use the fact that x ÷ y = 4 ÷ 9. This means that the ratio of x to y is 4:9.

Next, we can use the equation y ÷ z = 3 ÷ 7 to find the relationship between y and z.

Solving y ÷ z = 3 ÷ 7

This equation gives us the relationship between y and z. We can use this relationship to further solve for the values of y and z.

Finally, we can use the equation x + y + z = 102 to find the values of x, y, and z that satisfy all three equations simultaneously.

Conclusion

By solving the system of equations, we can find the values of x, y, and z that satisfy the given conditions.