Question

2x+y=3 3x-4y=37 Решите систему уравнений

Answer 1

Ответ:

x=49/11

y=23.63/4

Объяснение:

8х+4y=12

3x-4y=37

11x=49

x=49/11 (4.45)

3*49/11-4y=37

4y=37-(3*49/11)

4y=23.63

y=23.63/4

ВОЗМОЖНО уравнение записано неправильно

Answer 2

To solve the system of equations:

2x + y = 3 (Equation 1) 3x - 4y = 37 (Equation 2)

There are different methods for solving systems of equations, but I will use the elimination method in this case:

1. Multiply Equation 1 by 4 to get rid of the y variable:

2(2x + y = 3) => 4x + 2y = 6 (Equation 1 multiplied by 4)

2. Add Equation 2 to the new Equation 1 to eliminate the y variable:

(4x + 2y = 6) + (3x - 4y = 37) => 7x = 43

3. Solve for x:

7x = 43 => x = 43/7

4. Substitute x = 43/7 into Equation 1 and solve for y:

2(43/7) + y = 3 => y = 3 - 86/7 => y = -13/7

Therefore, the solution to the system of equations is:

x = 43/7 y = -13/7

So the ordered pair (x, y) = (43/7, -13/7) satisfies both equations.