Question
A system of equations is shown below:
Y = 3x - 7
Y = 2x + 1
What is the solution to the system of equations?
A. (8,17)
B. (-8,17)
C. (-8,-17)
D. (8,-17
Y = 3x - 7
Y = 2x + 1
What is the solution to the system of equations?
A. (8,17)
B. (-8,17)
C. (-8,-17)
D. (8,-17
Answers
GPT 3.5
To find the solution to the system of equations, we need to set the two equations equal to each other and solve for x:
3x - 7 = 2x + 1
Subtract 2x from both sides:
x - 7 = 1
Add 7 to both sides:
x = 8
Now that we know x = 8, we can substitute this value back into either equation to find y:
Y = 3(8) - 7
Y = 24 - 7
Y = 17
Therefore, the solution to the system of equations is (8, 17), which corresponds to option A.
3x - 7 = 2x + 1
Subtract 2x from both sides:
x - 7 = 1
Add 7 to both sides:
x = 8
Now that we know x = 8, we can substitute this value back into either equation to find y:
Y = 3(8) - 7
Y = 24 - 7
Y = 17
Therefore, the solution to the system of equations is (8, 17), which corresponds to option A.