Question

Choose the graph that matches the following system of equations: 2x + y = −1 3x + 2y = −6

Answer 1

Answer:

GRAPH B IS YOUR CORRECT ANSWER!!

Answer 2

Hi! You don't actually need to graph this nor find the intersection in order to know the answer. Through the process of elimination we can rule out incorrect answers.

Firstly, we express both equations with y on the left hand side since all choices are in that form:

$y=-2x-1$
$y=- \frac{3}{2}x-3$

Knowing these, we can immediately rule out options a, c, and d since they have the wrong equations. This will leave us with option b.

You can verify if the point of intersection provided in option b is true by plugging in the values of x and y to both equations (you will find that it is indeed true).

ANSWER: b. picture of coordinate plane with line y equals negative 2x minus 1 and line y equals negative 3 halves x minus 3. They intersect at 4, negative 9.