Question

If x + 2y = 7 and 3x + y = 6, then (x, y) is equal to ______.

Options

• (1, 2)

• (1, 3)

• (2, 1)

• (3, 1)

Answer 1

If x + 2y = 7 and 3x + y = 6, then (x, y) is equal to (1, 3).

Explanation:

Given the system of equations:

1. x + 2y = 7
2. 3x + y = 6

To find (x, y):

From equation (1), express (x) in terms of (y): 

x = 7 – 2y

Substitute (x = 7 – 2y) into equation (2): 

3(7 – 2y) + y = 6

21 – 6y + y = 6 

21 – 5y = 6 

–5y = 6 – 21 

–5y = –15 

y = 3

Now substitute (y = 3) back into equation (1):

x + 2(3) = 7 

x + 6 = 7 

x = 1

Therefore, (x, y) = (1, 3) which corresponds.