Question

Which ordered pair (x, y) is a solution to given system of linear equations?

Answer 1

Answer: (1,-2)

Step-by-step explanation:

Given : the system of linear equations :-

$3x+y=1---------------(1)\\5x+y = 3---------------(2)$

In order to find x and y , first we subtract equation (1) from equation (2) , we get

$2x=2$

Divide both sides by 2 , we get

$x=1$

Substitute the value of x=1 in equation (1) , we get

$3(1)+y=1\\\\3+y=1$

Subtract 3 from both sides , we get

$y=-2$

Hence, the ordered pair (x, y) is a solution to given system of linear equations = (1,-2)

Thus , the correct answer is  (1,-2) .

Answer 2

Answer:

(1, - 2 )

Step-by-step explanation:

Given the 2 equations

3x + y = 1 → (1)

5x + y = 3 → (2)

Subtracting (1) from (2) term by term eliminates the term in y, that is

(5x - 3x) + (y - y) = (3 - 1) and simplifying

2x = 2 ( divide both sides by 2 )

x = 1

Substitute x = 1 in either of the 2 equations for corresponding value of y

Using (1), then

3 + y = 1 ( subtract 3 from both sides )

y = - 2

Solution is (1, - 2 )