2-Variable Equations & Inequalities Online Practice

Question

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)

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 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.