Question

Question content area top
Part 1
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
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

Answer 1

From the graph the two lines are:
y = −3/2 x + 7 (passes through (0,7) and (2,4))
y = 6 − x (passes through (0,6) and (2,4))

Solve:
−3/2 x + 7 = 6 − x
−3/2 x + x = 6 − 7
−1/2 x = −1 ⇒ x = 2
y = 6 − 2 = 4

Solution: (2, 4). The matching choice is A.