Question

A system of linear equations is shown.

y = 2 over 3x − 4
y = −2x + 4

Graph this system of linear equations to determine the solution to the system of linear equations.

Y; X;
A
(2, negative 1 over 2)
B
(3, −2)
C
x = 3
D
(−2, 3)

Answer 1

Set the right sides equal: (2/3)x − 4 = −2x + 4.

(2/3 + 2)x = 8 → (8/3)x = 8 → x = 3.

Then y = −2(3) + 4 = −2.

Solution: (3, −2). Answer: B.