Question

3x-2y=16 4x+y=3 Подробно

Answer 1

Ответ:(2;-5)

Объяснение:

4x+y=3            

у=3-4x

3x-2y=16

3x-2(3-4x)=16

3х-6+8х=16

3х+8х=16+6

11х=22

х=22:11

х=2

у=3-4*2

у=-5

Ответ;х=2;у=-5

Answer 2

To solve the system of equations:

1. 3x - 2y = 16
2. 4x + y = 3

We can use either the substitution method or the elimination method. Let's use the elimination method in this case.

Step 1: Multiply both sides of equation (2) by 2 to make the coefficients of y in both equations equal: 2 * (4x + y) = 2 * 3 8x + 2y = 6

Now, we have the following system of equations:

1. 3x - 2y = 16
2. 8x + 2y = 6

Step 2: Add equation (1) and equation (2) together to eliminate the variable y:

(3x - 2y) + (8x + 2y) = 16 + 6 11x = 22

Step 3: Divide both sides by 11 to solve for x:

x = 22 / 11 x = 2

Step 4: Now that we have the value of x, we can find the value of y by substituting the value of x into either equation (1) or equation (2). Let's use equation (2):

4x + y = 3 4(2) + y = 3 8 + y = 3

Step 5: Solve for y:

y = 3 - 8 y = -5

So the solution to the system of equations is x = 2 and y = -5. To verify, you can substitute these values back into the original equations to ensure they satisfy both equations.