Question

Two lines, A and B, are represented by the equations given below: Line A: y = x − 2 Line B: y = 3x + 4 Which of the following shows the solution to the system of equations and explains why? (−3, −5), because the point does not lie on any axis (−3, −5), because the point satisfies both equations (−4, −8), because the point satisfies one of the equations (−4, −8), because the point lies between the two axes

Answer 1

B is correct

Explanation:

Answer 2

The point (-3,-5) is the solution of the system because it satisfies both equations

Explanation:

System of equations

A system of equations represents a situation where multiple conditions apply, and the possible solution to the system, if any, must satisfy all conditions, not just some of them.

We have the system of equations:

`\left\{\begin{matrix}y=x-2\\ y=3x+4\end{matrix}\right.`

The solution of the system is an ordered pair (x,y) that satisfies both equations.

Test the point (-3,-5):

`\left\{\begin{matrix}-5=-3-2=-5\\ -5=3*(-3)+4=-9+4=-5\end{matrix}\right.`

We can see both equalities are true, thus the point (-3,-5) is the solution of the system because it satisfies both equations