Question

Write and solve a system of equations for the graph shown.
2
4
6
2
4
6
x
y



x y graph
Question content area bottom
Part 1
Which of the following represents the system of equations shown in the​ graph?
A.y equals negative three halves x plus 7 y equals 6 minus x
y equals negative three halves x plus 7
y equals 6 minus x
B.y equals two thirds x plus 1 y equals 6 minus x
y equals two thirds x plus 1
y equals 6 minus x
Your answer is not correct.C.y equals two thirds x plus 1 y equals one half x plus 1
y equals two thirds x plus 1
y equals one half x plus 1
D.y equals negative three halves x plus 7 y equals one half x plus 1
y equals negative three halves x plus 7
y equals one half x plus 1
This is the correct answer.
Part 2
The solution is
  
enter your response here.

Answer 1

The system is
y = −(3/2)x + 7
y = (1/2)x + 1

Solve by setting them equal:
−(3/2)x + 7 = (1/2)x + 1
−2x = −6 → x = 3

Then y = (1/2)(3) + 1 = 3/2 + 1 = 5/2 = 2.5.

Solution: (x,y) = (3, 5/2) or (3, 2.5).