To determine which of the following statements are true, we need to solve the system of equations:
Equation A: 3x + y = 23
Equation B: 4x - y = 12
1. The point (5, 8) is a solution to the system of equations.
Let's substitute the values of x = 5 and y = 8 into both equations and check if they are satisfied.
For Equation A: 3(5) + 8 = 15 + 8 = 23, which is true.
For Equation B: 4(5) - 8 = 20 - 8 = 12, which is true.
Since both equations are true with the values x = 5 and y = 8, the point (5, 8) is indeed a solution to the system of equations.
2. The point (3, 7) is a solution to the system of equations.
Let's substitute the values of x = 3 and y = 7 into both equations and check if they are satisfied.
For Equation A: 3(3) + 7 = 9 + 7 = 16, which is not equal to 23.
For Equation B: 4(3) - 7 = 12 - 7 = 5, which is not equal to 12.
Since at least one of the equations is not true with the values x = 3 and y = 7, the point (3, 7) is not a solution to the system of equations.
Therefore, the only true statement is:
1. The point (5, 8) is a solution to the system of equations.
Equation A: 3x + y = 23
Equation B: 4x - y = 12
what are the system of equations to determine which of the following statements are true. Select all that apply.
1 answer