Question

Select the ordered pair that is a solution of the system of linear equations.

Given the system of equations:

y = 4x - 7
y = -x + 3
Which ordered pair is a solution?

A) (1,2)
B) (2,1)
C) (1,1)
D) (2,2)"

Answer 1

To find the solution of the system of linear equations, we can solve the equations simultaneously. The ordered pair (2,1) is the solution to the system of equations y = 4x - 7 and y = -x + 3.

Step-by-step explanation:

To find the solution to the system of linear equations, we need to find the values of x and y that satisfy both equations. Let's solve them:

1. y = 4x - 7

2. y = -x + 3

We can set the two equations equal to each other and solve for x:

4x - 7 = -x + 3

Adding x to both sides to eliminate the -x:

5x - 7 = 3

Adding 7 to both sides:

5x = 10

Dividing both sides by 5:

x = 2

Now, substitute the value of x back into one of the original equations:

y = 4(2) - 7

y = 8 - 7

y = 1

The ordered pair that is a solution of the system of linear equations is (2, 1). Therefore, the correct answer is option B) (2, 1).