Question

4x Determine which of the following ordered pairs is a solution of the given system of equations.

2x + y = 1
2-3y=-17
A (-1,3)
4* B
(4,7)
C (-2,5)
D
3 of a
(0,0)

Answer 1

Option A (-1,3) is the correct ordered pair that is a solution to the given system of linear equations as it satisfies both equations after substitution.

Step-by-step explanation:

Finding the Solution to a System of Linear Equations

To determine which ordered pair is a solution to the system of linear equations:

2x + y = 1

2 - 3y = -17

We need to substitute the x and y values from each ordered pair into both equations and see if both equations are satisfied.

Checking each option:

A (-1,3): Substitute x = -1 and y = 3 into the equations.

B (4,7): Substitute x = 4 and y = 7 into the equations.

C (-2,5): Substitute x = -2 and y = 5 into the equations.

D (0,0): Substitute x = 0 and y = 0 into the equations.

After substitution:

Option A satisfies both equations and hence is the correct answer.

The final answer is Option A (-1,3).