Given Statement:
If two angles add to , then they are complementary.
1. Converse:
If two angles are complementary, then they add to . This is the true statement.
2. Inverse
If two angles do not add to , then they are not complementary.This is the true statement.
3. Contrapositive
If two angles are not complementary, then they do not add to .This is the true statement.
Given:
The system of equations is
To find:
The true statement about the given system of equations.
Solution:
The slope intercept form of a line is
Where, m is the slope and b is the y-intercept.
We have,
On comparing these two lines with slope intercept form, we get
Since the slopes of the lines are equal but the y-intercepts are different, therefore, the two lines are parallel and the system has no solution.
Therefore, the correct option is A.
and
use the second expression to calculate the left-hand side of the first equation:
Add 10 to both sides if this equation to get
and divide both sides by 2
this proves that x = 17, give the two initial equations