Reese states that the system of equations has no solution because the slopes are the same. Describe Reese’s error. ( y=−3x−1 ), ( 3+y=−1 )

the system of equations has infinite solution

Step-by-step explanation:

Reese states that the system of equations has no solution because the slopes are the same. Describe Reese’s error. ( y=−3x−1 ), ( 3x+y=−1 )

Solution:

The equation of a straight line graph is given by:

y = mx + b, where m is the slope of the line and b is the y intercept.

A system of linear equations has no solution when the graphs are parallel, that is they have the same slope and different y intercept.

A system of linear equations has infinite solutions when the graphs are the exact same line, that is they have the equal slope and equal y intercept.

The first equation: y = -3x - 1 has a slope of -3 and y intercept of -1.

The second equation: 3x + y = - 1; i.e. y = -3x - 1  has a slope of -3 and y intercept of -1.

Since both equations have equal slope and equal y intercept, hence both equations are infinite solutions.

Therefore the statement that the system of equations has no solution is wrong.

hi there!

the answer to this question is d: 35

step-by-step explanation:

5 to the power of 2 is 25

2 multiplied by 5 is 10

then you add the 2 numbers and you get 35

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6