Question
2-Variable Equations & Inequalities Online Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
8 of 188 of 18 Items
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 negative 2.4 comma 6.6 right parenthesis
(−2.4,−6.6)
left parenthesis negative 2.4 comma negative 6.6 right parenthesis
(2.4,−6.6)
left parenthesis 2.4 comma negative 6.6 right parenthesis
(−1.2,3.3)
Answers
GPT-4o mini
To determine which of the given points is a solution to the system of equations \( y = 23x - 5 \) and \( y = 73x - 1 \), we can substitute each point into both equations and check if they satisfy both.
1. **Point \( (-2.4, 6.6) \)**:
- For the first equation:
\( y = 23(-2.4) - 5 = -55.2 - 5 = -60.2 \) (not equal to 6.6)
- For the second equation:
\( y = 73(-2.4) - 1 = -175.2 - 1 = -176.2 \) (not equal to 6.6)
2. **Point \( (-2.4, -6.6) \)**:
- For the first equation:
\( y = 23(-2.4) - 5 = -55.2 - 5 = -60.2 \) (not equal to -6.6)
- For the second equation:
\( y = 73(-2.4) - 1 = -175.2 - 1 = -176.2 \) (not equal to -6.6)
3. **Point \( (2.4, -6.6) \)**:
- For the first equation:
\( y = 23(2.4) - 5 = 55.2 - 5 = 50.2 \) (not equal to -6.6)
- For the second equation:
\( y = 73(2.4) - 1 = 175.2 - 1 = 174.2 \) (not equal to -6.6)
4. **Point \( (-1.2, 3.3) \)**:
- For the first equation:
\( y = 23(-1.2) - 5 = -27.6 - 5 = -32.6 \) (not equal to 3.3)
- For the second equation:
\( y = 73(-1.2) - 1 = -87.6 - 1 = -88.6 \) (not equal to 3.3)
None of the given points are solutions to the system of equations \( y = 23x - 5 \) and \( y = 73x - 1 \). Please double-check the equations or the options provided.
1. **Point \( (-2.4, 6.6) \)**:
- For the first equation:
\( y = 23(-2.4) - 5 = -55.2 - 5 = -60.2 \) (not equal to 6.6)
- For the second equation:
\( y = 73(-2.4) - 1 = -175.2 - 1 = -176.2 \) (not equal to 6.6)
2. **Point \( (-2.4, -6.6) \)**:
- For the first equation:
\( y = 23(-2.4) - 5 = -55.2 - 5 = -60.2 \) (not equal to -6.6)
- For the second equation:
\( y = 73(-2.4) - 1 = -175.2 - 1 = -176.2 \) (not equal to -6.6)
3. **Point \( (2.4, -6.6) \)**:
- For the first equation:
\( y = 23(2.4) - 5 = 55.2 - 5 = 50.2 \) (not equal to -6.6)
- For the second equation:
\( y = 73(2.4) - 1 = 175.2 - 1 = 174.2 \) (not equal to -6.6)
4. **Point \( (-1.2, 3.3) \)**:
- For the first equation:
\( y = 23(-1.2) - 5 = -27.6 - 5 = -32.6 \) (not equal to 3.3)
- For the second equation:
\( y = 73(-1.2) - 1 = -87.6 - 1 = -88.6 \) (not equal to 3.3)
None of the given points are solutions to the system of equations \( y = 23x - 5 \) and \( y = 73x - 1 \). Please double-check the equations or the options provided.