Question

(08.01)Consider the following system of equations:

y = 5x + 6
y = −x − 7
Which description best describes the solution to the system of
equations?
Line y = 5x + 6 intersects line y = −x − 7.
Lines y = 5x + 6 and y = −x − 7 intersect the x-axis.
Lines y = 5x + 6 and y = −x − 7 intersect the y-axis.
Line y = 5x + 6 intersects the origin.

Answer 1

The first one is correct.

Answer 2

The correct option is 1.

Explanation:

If a system of equation have two equation, then the intersection points of both equation are the solutions of the system of equation.

The given system of equations is

`y=5x+6`

`y=-x-7`

Both equations represent lines because both have degree 1.

The solution to the system of equations is the intersection of both the lines. It means the statement "Line y = 5x + 6 intersects line y = −x − 7" describes the solution to the system of equations.

Therefore the correct option is 1.