Question

Решите систему и распишите подробно, пожалуйста) Система:6a+18b-24=0, 4+4a+4b=0;

Answer 1

1) каждое уравнение можно сократить... первое на (6), второе на (4)
a + 3b - 4 = 0
1 + a + b = 0
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2) из второго (так удобнее)) выразить (а) и подставить в первое уравнение...
a = -b - 1
-b - 1 + 3b - 4 = 0
2b = 5
b = 2.5
a = -2.5 - 1 = -3.5

Answer 2

Solving the System of Equations

To solve the system of equations: - 6a + 18b - 24 = 0 - 4 + 4a + 4b = 0

We can use the method of substitution or elimination to find the values of 'a' and 'b'.

Using the Method of Substitution

We can solve the second equation for 'a' in terms of 'b': 4a = -4 - 4b a = (-4 - 4b) / 4 a = -1 - b

Now we can substitute the value of 'a' into the first equation: 6(-1 - b) + 18b - 24 = 0 -6 - 6b + 18b - 24 = 0 12b - 30 = 0 12b = 30 b = 30 / 12 b = 2.5

Substitute the value of 'b' back into the equation for 'a': a = -1 - 2.5 a = -3.5

Conclusion

The solution to the system of equations is: a = -3.5 b = 2.5