A system of equations is shown below. y = 1.5x - 3
y = 1.5x + 4

Which statement is true about the system
A the system has no solution
B the solution has infinitely many soulutions
C the system has exactly one solution and it’s (0,-3)
D the system has exactly one solution and it’s (6,4)

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.

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.