Question

To classify

ons.
Classify the system of equations.
– x=2-y
1 + y = 3x + 0
Click on the correct answer.
in slope-
intersecting
y-intersects.
2
parallel
coincident

Answer 1

The system of linear equations consist of parallel lines

Explanation:

Here, we want to classify the system of linear equations

Firstly, let us write both in the standard forms

For the first;

y = 3x + 2

For the second;

y = 3x-1

The general form of a linear equation is;

y = mx + b

where m is the slope and b is the y-intercept

In both cases, m = 3 and that means the slope is the same

When two lines have same slope values, they are said to be parallel to each other