Answer:
(1,-1) is the point where two lines meet
Explanation:
A system of linear equations consists of two or more linear equations that can be solved by various methods which include substitution,elimination etc. In solving the equations graphically, we plot them on same graphical plane. That process involves, plotting the points on graph that are solutions of equation and joining them to form a line.The answer to the system is the point where the lines meet. This point is a solution to all lines that pass through this point.
To solve a linear equation and plot them on plane, we can randomly take a value of x and by substituting the value of x into equation, the value of y can be obtained.
For example:
let x = 0,
We find several other points for the same line and plot on graph.
x 0 1 2 3
y 4 -1 -6 -11
Then we join all the points to form a line.
Similarly, we do for
.
x 0 1 2
y -2 -1 0
The point of intersection is (1,-1) which can be seen in the figure clearly and also in the solutions we found for the equations above.