Question

X-3y=5 3x+2y=4 ())))

Answer 1

1)x-3y=5. 2y=5 y=5:2 y=2,5

Answer 2

X-3y=5. 2y=5 y=5:2 y=2,5

Answer 3

To solve the system of equations:

1. X - 3y = 5
2. 3x + 2y = 4

There are several methods to solve this system, but I'll demonstrate the method of substitution:

From equation 1, we can isolate X in terms of y:

X = 5 + 3y

Now, substitute this value of X into equation 2:

3(5 + 3y) + 2y = 4

Distribute the 3:

15 + 9y + 2y = 4

Combine like terms:

11y + 15 = 4

Subtract 15 from both sides:

11y = 4 - 15 11y = -11

Divide both sides by 11:

y = -11/11 y = -1

Now that we have the value of y, we can substitute it back into equation 1 to find the value of X:

X - 3(-1) = 5 X + 3 = 5

Subtract 3 from both sides:

X = 5 - 3 X = 2

So the solution to the system of equations is X = 2 and y = -1.