Question

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

[3x+y=1
5x+y=3
O(-2,1)
O(-0.5, 0.5)
O (0.5, -0.5)
(1,-2)

Answer 1

The correct answer is (1, -2).

Explanation:

To find the solution to the system of linear equations:

1. 3x + y = 1

2. 5x + y = 3

You can use the method of substitution or elimination. Let's use the elimination method. First, subtract equation (1) from equation (2) to eliminate y:

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

This simplifies to:

2x = 2

Now, divide both sides by 2:

x = 1

Now that you have found the value of x, you can substitute it back into either equation (1) or (2). Let's use equation (1):

3(1) + y = 1

3 + y = 1

Subtract 3 from both sides to solve for y:

y = 1 - 3

y = -2

So, the solution to the system of equations is (x, y) = (1, -2). None of the provided options is correct. The correct answer is (1, -2).