Question

Choose the correct graph of the given system of equations.

y + 2x = −1
3y − x = 4

graph of two lines that intersect at the point negative 1, 1, with text on graph that reads One Solution negative 1, 1
graph of two lines that intersect at the point 1, 1, with text on graph that reads One Solution 1, 1
graph of two parallel lines with positive slopes with text on the graph that reads No Solution
graph of two lines on top of each other with text on graph that reads Infinitely Many Solutions

Answer 1

graph of two lines that intersect at the point negative 1, 1, with text on graph that reads One Solution negative 1, 1

Answer 2

The correct statement is:

"graph of two lines that intersect at the point negative 1, 1, with text on graph that reads One Solution - 1, 1"

Which option describes the graph?

Here we have a system of linear equations:

y + 2x = −1

3y − x = 4

Let's find the solution, from the first one we can write:

y = -2x - 1

Replace that in the other:

3*(-2x - 1) - x = 4

-6x - 3 - x = 4

-7x = 4 + 3

x = 7/-7 = -1

Then the correct option is "graph of two lines that intersect at the point negative 1, 1, with text on graph that reads One Solution - 1, 1"