Question

Which graph shows the solution to the system of linear equations?

y = 4x − 1
16x − 4y = 16

Answer 1

graph D (see attached)

Explanation:

You want the graph that shows the solution to the system of equations ...

• y = 4x -1
• 16x -4y = 16

Graph

We can put the second equation into slope-intercept form:

16x -16 = 4y . . . . . . . add 4y -16

y = 4x -4 . . . . . . . . . divide by 4

This describes a line with slope 4 and y-intercept -4.

The first equation describes a line with slope 4 and y-intercept -1.

The graph of the two equations will match choice D, parallel lines showing the system has no solution.

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Additional comment

Graph D is the only one that correctly shows the graph of the first equation y = 4x -1.

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