Question

Which of the following points is a solution to the system of equations y=23x−5
and y=73x−1
?(1 point)
Responses

(2.4,−6.6)
left parenthesis 2.4 comma negative 6.6 right parenthesis

(−2.4,−6.6)
left parenthesis negative 2.4 comma negative 6.6 right parenthesis

(−1.2,3.3)
left parenthesis negative 1.2 comma 3.3 right parenthesis

(−2.4,6.6)

Answer 1

To determine which of the given points is a solution to the system of equations \( y = 23x - 5 \) and \( y = 73x - 1 \), we will substitute each point into both equations.

1. **Point (2.4, -6.6)**:
- For \( y = 23x - 5 \):
\[
y = 23(2.4) - 5 = 55.2 - 5 = 50.2 \quad (\text{not } -6.6)
\]
- For \( y = 73x - 1 \):
\[
y = 73(2.4) - 1 = 175.2 - 1 = 174.2 \quad (\text{not } -6.6)
\]

2. **Point (-2.4, -6.6)**:
- For \( y = 23x - 5 \):
\[
y = 23(-2.4) - 5 = -55.2 - 5 = -60.2 \quad (\text{not } -6.6)
\]
- For \( y = 73x - 1 \):
\[
y = 73(-2.4) - 1 = -175.2 - 1 = -176.2 \quad (\text{not } -6.6)
\]

3. **Point (-1.2, 3.3)**:
- For \( y = 23x - 5 \):
\[
y = 23(-1.2) - 5 = -27.6 - 5 = -32.6 \quad (\text{not } 3.3)
\]
- For \( y = 73x - 1 \):
\[
y = 73(-1.2) - 1 = -87.6 - 1 = -88.6 \quad (\text{not } 3.3)
\]

4. **Point (-2.4, 6.6)**:
- For \( y = 23x - 5 \):
\[
y = 23(-2.4) - 5 = -55.2 - 5 = -60.2 \quad (\text{not } 6.6)
\]
- For \( y = 73x - 1 \):
\[
y = 73(-2.4) - 1 = -175.2 - 1 = -176.2 \quad (\text{not } 6.6)
\]

After testing all four points, none of them is a solution to the system of equations. There appears to be a misunderstanding, as the correct answer isn't among those provided.

If you would like further assistance, please provide additional context or check the equations and points given.