Question

{ 5x + 2y = 25 3x + 4y = 29

Answer 1

$\left \{ {{5x+2y=25} \atop {3x+4y=29}} \right.$

Я решу методом вычитания

Умножаем первое уравнение на 2:

10х+4у=50

Отнимаем два уравнения:

$-\left \{ {{10x+4y=50} \atop {3x+4y=29}} \right.$

7x=21

x=3

Подставляем этот х в любое уравнение (я во второе):

3*3+4у=29

4у=20

у=5

Ответ : (3;5)

Answer 2

х,у=(3,5)

надеюсь правильно

Answer 3

To solve the system of equations:

Equation 1: 5x + 2y = 25 Equation 2: 3x + 4y = 29

There are various methods to solve this system of equations, such as substitution, elimination, or using matrices. I'll demonstrate the method of substitution:

Step 1: Solve one equation for one variable in terms of the other variable. Let's solve Equation 1 for x:

5x + 2y = 25

Subtract 2y from both sides:

5x = 25 - 2y

Divide both sides by 5:

x = (25 - 2y)/5 x = (5 - 2y/5)

Step 2: Substitute the expression for x in terms of y into Equation 2:

3x + 4y = 29

Substitute x:

3((5 - 2y)/5) + 4y = 29

Multiply both sides by 5 to eliminate the denominator:

3(5 - 2y) + 20y = 145

Distribute:

15 - 6y + 20y = 145

Combine like terms:

14y + 15 = 145

Subtract 15 from both sides:

14y = 130

Divide both sides by 14:

y = 130/14 y = 65/7

Step 3: Substitute the value of y back into Equation 1 to solve for x:

5x + 2(65/7) = 25

Multiply 2 by (65/7):

5x + (130/7) = 25

Subtract (130/7) from both sides:

5x = 25 - (130/7)

Multiply (130/7) by (7/7) to get a common denominator:

5x = (175/7) - (130/7)

Combine the fractions:

5x = 45/7

Divide both sides by 5:

x = (45/7) / 5 x = 45/35 x = 9/7

Therefore, the solution to the system of equations is x = 9/7 and y = 65/7.