Question

|3x +5y = 2 3x-2y = 0

Answer 1

Ответ:

Объяснение:

Во вложении.

Answer 2

To solve this system of equations:

1. 3x + 5y = 2
2. 3x - 2y = 0

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

First, let's multiply the second equation by 5 to make the coefficients of y in both equations cancel each other when summed:

1. 3x + 5y = 2
2. 5 * (3x - 2y) = 5 * 0

This simplifies to:

1. 3x + 5y = 2
2. 15x - 10y = 0

Now, we can add the two equations together:

(3x + 5y) + (15x - 10y) = 2 + 0

This results in:

18x - 5y = 2

Now, we have a new equation:

3. 18x - 5y = 2

We can use this equation along with one of the original equations to solve for x or y. Let's use equation 3 and equation 1:

3. 18x - 5y = 2
4. 3x + 5y = 2

Now, add equation 3 and equation 1:

(18x - 5y) + (3x + 5y) = 2 + 2

This simplifies to:

21x = 4

Now, divide both sides by 21 to solve for x:

x = 4 / 21

Now that we have the value of x, we can substitute it into one of the original equations to solve for y. We'll use equation 1:

3x + 5y = 2 3 * (4 / 21) + 5y = 2

Now, solve for y:

(12 / 21) + 5y = 2 (4 / 7) + 5y = 2

Subtract (4 / 7) from both sides:

5y = 2 - (4 / 7)

To make the calculations easier, find a common denominator for 2 and (4 / 7), which is 7:

5y = (14 / 7) - (4 / 7)

5y = (14 - 4) / 7

5y = 10 / 7

Now, divide both sides by 5 to solve for y:

y = (10 / 7) / 5

y = (10 / 7) * (1/5)

y = 2/7

So, the solution to the system of equations is:

x = 4/21 y = 2/7