Question

17x + y = 35, { 5x - 3y = 7

Answer 1

Ответ:

Это система.Решаем способом подстановки

17х+у=35

5х-3у=7

Берем первое уравнение 17х+у=35 у=35- 17х

Подставляем значение у=35-17х 5х-3(35-17х)=7 5х-105 +3×17х=7 5х+51х=7+105 56х=112 х=2

находим значение у=35-17х у=35-17×2 у=35-34 у=1

Проверка:17×2+1=35 35=35 5×2-3×1=7 10-3=7

Ответ:х=2; у=1

Не забудь это система,поставь знак системы

Answer 2

To solve this system of linear equations, you can use either the substitution method or the elimination method. I'll use the elimination method:

Given the system of equations:

1. 17x + y = 35
2. 5x - 3y = 7

First, you can multiply equation (2) by 1 to make the coefficients of y in both equations equal:

1. 17x + y = 35
2. 5x - 3y = 7

Now, you can multiply equation (2) by 3 so that the coefficients of y will cancel each other when you add the equations together:

1. 17x + y = 35
2. (3)(5x - 3y) = (3)(7)

This simplifies to:

1. 17x + y = 35
2. 15x - 9y = 21

Now, you can add equation (1) and equation (2) together to eliminate y:

(17x + y) + (15x - 9y) = 35 + 21

Combine like terms:

32x - 8y = 56

Now, you have a new equation:

3. 32x - 8y = 56

Now, let's solve this equation for x:

32x - 8y = 56

First, divide both sides of the equation by 8 to isolate x:

(32x - 8y)/8 = 56/8

This simplifies to:

4x - y = 7

Now, you have a new equation:

4x - y = 7

Next, you can use this equation to solve for y:

4x - y = 7

Add y to both sides:

4x - y + y = 7 + y

4x = 7 + y

Now, subtract 7 from both sides:

4x - 7 = y

Now, you have an expression for y:

y = 4x - 7

Now you have a system of equations with expressions for both x and y:

1. 17x + y = 35
2. y = 4x - 7

You can now substitute the expression for y from equation (2) into equation (1) to solve for x:

17x + (4x - 7) = 35

Combine like terms:

21x - 7 = 35

Add 7 to both sides:

21x = 35 + 7

21x = 42

Now, divide both sides by 21 to solve for x:

x = 42 / 21

x = 2

Now that you've found the value of x, you can substitute it back into equation (2) to find the value of y:

y = 4x - 7 y = 4(2) - 7 y = 8 - 7 y = 1

So, the solution to the system of equations is:

x = 2 y = 1