Question

Решить систему уравнений и найти сумму (x + y) : {-5x+3y=22 {2x-4y=-20 1 Смотреть ответ sedinalana sedinalana {-5x+3y=22/*2⇒-10x+6y=44{2x-4y=-20/*5⇒10x-20y=-100прибавим-14y=-56y=-56:(-14)y=42x-16=-202x=-20+162x=-4x=-4:2x=-2x+y=-2+4=2Ответ 2

Answer 1

Solving the System of Equations and Finding the Sum of (x + y):

To solve the given system of equations and find the sum of (x + y), we will use the method of substitution or elimination. Let's go step by step:

1. Given equations: - Equation 1: -5x + 3y = 22 - Equation 2: 2x - 4y = -20

2. We will start by solving Equation 1 for x: - Multiply Equation 1 by 2: -10x + 6y = 44

3. Next, we will solve Equation 2 for x: - Multiply Equation 2 by 5: 10x - 20y = -100

4. Now, we will add the two equations together to eliminate x: - (-10x + 6y) + (10x - 20y) = 44 + (-100) - Simplifying the equation: -14y = -56

5. Solving for y: - Divide both sides of the equation by -14: y = -56 / -14 - Simplifying: y = 4

6. Substitute the value of y back into Equation 1 to solve for x: - -5x + 3(4) = 22 - Simplifying: -5x + 12 = 22 - Subtract 12 from both sides: -5x = 10 - Divide both sides by -5: x = -2

7. Finally, find the sum of (x + y): - x + y = -2 + 4 = 2

Therefore, the solution to the given system of equations is x = -2 and y = 4, and the sum of (x + y) is 2.

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