Question

Решите систему уравнений способом подстановки: 4x+5y=3 6x-y=13

Answer 1

Ответ:

(2; -1)

Объяснение:

-у= 13 - 6х | :(-1)

у = 6х - 13

Подставляем в уравнение:

4х + 5(6х - 13) = 3

4х + 30х - 65 = 3

34х = 68

х = 2

у= 6*2 - 13

у = -1

Answer 2

Ответ: Y= хYи

Объяснение: ну типо лол

Answer 3

To solve the system of equations using the method of substitution, follow these steps:

Step 1: Solve one of the equations for one variable in terms of the other variable. Step 2: Substitute the expression found in Step 1 into the other equation. Step 3: Solve the resulting equation for the remaining variable. Step 4: Substitute the value found in Step 3 back into either of the original equations to find the value of the other variable. Step 5: Write the solution as an ordered pair (x, y).

Let's solve the system:

1. Solve the first equation for x: 4x + 5y = 3 4x = 3 - 5y x = (3 - 5y) / 4

2. Substitute the expression for x into the second equation: 6x - y = 13 6((3 - 5y) / 4) - y = 13 Multiply by 4 to get rid of the fraction: 6(3 - 5y) - 4y = 52 18 - 30y - 4y = 52 -34y = 34 y = -1

3. Substitute the value of y back into the expression for x: x = (3 - 5y) / 4 x = (3 - 5(-1)) / 4 x = (3 + 5) / 4 x = 8 / 4 x = 2

So, the solution to the system of equations is x = 2 and y = -1. The ordered pair representing the solution is (2, -1).