Question

5x-y =17 3x+2y=6 Sos

Answer 1

Ответ на фотографии.

Объяснение:

Answer 2

To solve the system of equations:

1. 5x - y = 17
2. 3x + 2y = 6

You can use the method of either substitution or elimination. Here, I'll use the elimination method.

First, let's multiply both sides of the second equation by 5 to make the coefficients of y in both equations equal:

1. 5x - y = 17
2. 15x + 10y = 30

Now, we can add the two equations to eliminate the variable y:

(5x - y) + (15x + 10y) = 17 + 30

Combine like terms:

20x + 9y = 47

Now, we have a new equation:

3. 20x + 9y = 47

We now have a system of two equations:

1. 5x - y = 17
2. 20x + 9y = 47

We can solve this system of equations using the elimination method. Let's multiply the first equation by 9 and the second equation by 1 to make the coefficients of y in both equations equal:

1. 45x - 9y = 153
2. 20x + 9y = 47

Now, add the two equations to eliminate y:

(45x - 9y) + (20x + 9y) = 153 + 47

Combine like terms:

65x = 200

Now, isolate x by dividing both sides by 65:

x = 200 / 65 x ≈ 3.0769 (rounded to four decimal places)

Now that we've found the value of x, we can substitute it back into one of the original equations to solve for y. I'll use the first equation:

5x - y = 17

5(3.0769) - y = 17

15.3846 - y = 17

Now, isolate y by subtracting 15.3846 from both sides:

-y = 17 - 15.3846 -y ≈ 1.6154

Multiply both sides by -1 to solve for y:

y ≈ -1.6154

So, the solution to the system of equations is approximately:

x ≈ 3.0769 y ≈ -1.6154