Represent the system of linear equations 3x+y-5=0 and 2x-y-5=0 graphically. From the graph write solution of the system and also the area of the triangle formed by the lines and y axis

Step-by-step explanation:

The given system is

First, you need to graph both lines. To do so, you just need to find the interceptions with both axis.

For

For

Then, you draw both points to have the straight line.

Repeat the process for the second line. The image attached shows both lines.

Remember, the solution of a linear system of equation is the common point between lines. In this case, we can observe that the solution is (2, -1).

On the other hand, to find the area of the triangle formed, we need to use the length of its base and its height.

Now, we use the area formula for triangles

Therefore, the area of the triangle formed is 10 square units.

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at least two

step-by-step explanation: