Question

Решить системы a+b=43 125a+8b=110

Answer 1

Ответ на фотографии:

Answer 2

a+b=43

125a+8b=110

a=43-b

125a+8b=110

Подставим значение x в уравнение

125(43-b)+8b=110

5375-125b+8b=110

5375-117b=110

-117b=110-5375

-117b=-5265

b=45

Answer 3

To solve this system of equations, we can use the method of elimination or substitution. Here, we will use substitution:

From the first equation, we can solve for a in terms of b:

a + b = 43

a = 43 - b

Now, we can substitute this value of a into the second equation:

125a + 8b = 110

125(43 - b) + 8b = 110

Simplifying this equation, we get:

5,375 - 117b + 8b = 110

Combining like terms:

-109b = -5,265

Solving for b:

b = 48.28 (rounded to two decimal places)

Now that we know b, we can substitute this value back into the first equation to solve for a:

a + b = 43

a + 48.28 = 43

Solving for a:

a = -5.28 (rounded to two decimal places)

Therefore, the solution to the system of equations is:

a = -5.28 b = 48.28