Question

Solve the system of equations first by graphing and then algebraically:

y = 4x - 1
y = -1/2x + 8
a) The solutions are (3, 11) and (-1, 9).
b) The solutions are (2, 9) and (-2, 11).
c) The solutions are (3, 11) and (-3, 11).
d) The solutions are (2, 10) and (-2, 10).

Answer 1

To solve the system of equations y = 4x - 1 and y = -1/2x + 8, we can first graph the two equations and then solve them algebraically. The correct solutions to the system of equations are (3, 11) and (-1, 9).

Step-by-step explanation:

To solve the system of equations y = 4x - 1 and y = -1/2x + 8, we can first graph the two equations and then solve them algebraically.

Graphically, we plot the two lines on a coordinate plane and find the point of intersection which represents the solutions.

Algebraically, we can solve the system by substituting one equation into the other and solving for x and y.

The correct solutions to the system of equations are (3, 11) and (-1, 9), so the answer is option a) The solutions are (3, 11) and (-1, 9).