Question

The ordered pair (1, 4) is a solution to the system of equations.

y = 3x + 1
y = -x + 5
True
False

Answer 1

After substituting x=1 and y=4 into both equations y=3x+1 and y=-x+5, and seeing that both equations hold true, we can conclude that the ordered pair (1, 4) is indeed a solution to the system.

Step-by-step explanation:

We have been asked to determine if the ordered pair (1, 4) is a solution to the system of linear equations:

• y = 3x + 1
• y = -x + 5

To verify if (1, 4) is a solution, we substitute x with 1 and y with 4 into both equations:

• For the first equation: 4 = 3(1) + 1, which simplifies to 4 = 4 ✓
• For the second equation: 4 = -(1) + 5, which simplifies to 4 = 4 ✓

Since the ordered pair (1, 4) satisfies both equations, the statement is True.