Question

{X-4y=11 {3x+2y=5 Систему розв'язати способом підстановки Посмотреть ответы Aalisha Aalisha Ответ:Объяснение:Ответ: dashuha1kr dashuha1kr Ответ:(71;15)Объяснение:x=11+4y3x+2y=53+2y(11+4y)=53+22y+8y=522y+8y=5-330y=2y=15, x=11+4×15=71

Answer 1

Solving the System of Equations by Substitution

To solve the system of equations:

1. Equation 1: x - 4y = 11 2. Equation 2: 3x + 2y = 5

We can use the method of substitution. Here's how we can proceed:

1. Solve Equation 1 for x: x = 11 + 4y

2. Substitute the value of x in Equation 2: 3(11 + 4y) + 2y = 5

Now, let's simplify and solve for y:

3. Distribute 3 to the terms inside the parentheses: 33 + 12y + 2y = 5

4. Combine like terms: 14y + 33 = 5

5. Move 33 to the other side of the equation: 14y = 5 - 33 14y = -28

6. Divide both sides by 14 to solve for y: y = -28 / 14 y = -2

Now that we have the value of y, we can substitute it back into Equation 1 to find the value of x:

7. Substitute y = -2 into Equation 1: x - 4(-2) = 11 x + 8 = 11

8. Move 8 to the other side of the equation: x = 11 - 8 x = 3

Therefore, the solution to the system of equations is x = 3 and y = -2. The coordinates of the solution point are (3, -2).

Please let me know if you have any further questions!