Question

3x-5y=18 -2x+3y=11 рішити способом додавання

Answer 1

Ответ:

(x,y)=(2,-1)

Объяснение:

как то так

Answer 2

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

Step 1: Multiply one or both equations by suitable constants so that the coefficients of one of the variables will cancel out when added.

Let's start by multiplying the second equation by 3 and the first equation by 5:

Eq1: 3x - 5y = 18 Eq2: -6x + 9y = 33

Step 2: Add the equations together to eliminate one variable.

Adding Eq1 and Eq2, we get:

(3x - 5y) + (-6x + 9y) = 18 + 33 -3x + 4y = 51

Step 3: Solve the resulting equation for one variable.

Let's solve -3x + 4y = 51 for x:

-3x = 51 - 4y x = (51 - 4y) / -3

Step 4: Substitute the value of x into one of the original equations and solve for the other variable.

Let's substitute x = (51 - 4y) / -3 into the first equation:

3x - 5y = 18 3((51 - 4y) / -3) - 5y = 18 -17y + 51 = 18 -17y = 18 - 51 -17y = -33 y = (-33) / (-17) y = 33/17

Step 5: Substitute the value of y back into one of the original equations and solve for the remaining variable.

Let's substitute y = 33/17 into the second equation:

-2x + 3y = 11 -2x + 3(33/17) = 11 -2x + 99/17 = 11 -2x = 11 - 99/17 -2x = (187 - 99) / 17 -2x = 88/17 x = (88/17) / -2 x = -88/34 x = -44/17

Therefore, the solution to the system of equations is x = -44/17 and y = 33/17.