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.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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