Solution to a system of equations
Initial explanation
A system of equations is a set of equations.
In this case, we have two equations
y = x + 4
y = -2x - 5
If we want to find its solution, we would need to find the value of x and the value of y that satisfy both equations simultaneously.
Graph
These equations can be graphed, and they will look like straigth lines. Graphically, the solution is the point the both lines cross.
In this case, they both cross the red point:
On the x-axis it is located at -3.
On the y-axis it is located at 1.
We write x = -3 and y = 1 as an ordered pair:
(x, y)
Then, the solution is
(-3, 1)
ANSWER: B. (-3, 1)