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### Assignment 9

Given the following two linear equations with two unknown variables en :

Answer the following questions.

1. The equations represent lines. Calculate their slopes.

2. How can you calculate the coordinates of the intersection point of both lines?

### Solution

1. The first equation can be written as:

and has the slope .

The second equation can be written as:

and has the slope .

We can calculate the -coordinate of the intersection point from:

and so

The coordinates of are .

*An alternative calculation. *

We could have calculated this result directly from the two previous equations:

Just multiply the second equation with :

and subtract it from the first equation. Then we get:

and so .

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