Question

ПОЖАЛУЙСТА ПОМОГИТЕ! РЕШИТЕ СИСТЕМУ УРАВНЕНИЙ МЕТОДОМ ПОДСТАНОВКИ: (2x+3y=16 (3x-2y=11 ВОТ ВТОРОЕ УРАВНЕНИЕ: (6(x+y)=5-(2x+y) (3x-2y=-3y-3 ПОЖАЛУЙСТА,НЕ ПИШИТЕ ОТ БАЛДЫ,А ТЕ КТО РЕАЛЬНО ЗНАЮТ КАК РЕШАТЬ!

Answer 1

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Answer 2

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Answer 3

System of Equations:

To solve the system of equations using the method of substitution, we have the following equations:

Equation 1: 2x + 3y = 16 (1) Equation 2: 3x - 2y = 11 (2)

We can solve this system by substituting one variable in terms of the other and then substituting the expression back into the other equation.

Let's solve the system step by step:

Step 1: Solve Equation 1 for x in terms of y: From Equation 1, we can isolate x: 2x = 16 - 3y x = (16 - 3y)/2

Step 2: Substitute x in Equation 2: Substitute the expression for x from Step 1 into Equation 2: 3((16 - 3y)/2) - 2y = 11

Simplifying the equation, we get: (48 - 9y)/2 - 2y = 11 48 - 9y - 4y = 22 48 - 13y = 22 -13y = 22 - 48 -13y = -26 y = (-26)/(-13) y = 2

Step 3: Substitute y back into Equation 1 to find x: Substitute y = 2 into Equation 1: 2x + 3(2) = 16 2x + 6 = 16 2x = 16 - 6 2x = 10 x = 10/2 x = 5

Therefore, the solution to the system of equations is x = 5 and y = 2.

Let me know if you need any further assistance!