8x + y=-6
16x + 2y = 3
solve by substitution

Hey there!

To start, substitution is isolating one variable in one equation in a system and plugging it into the second equation for the variable isolated.

In this case, because y in the first equation has a coefficient of 1, it is easiest to use. So now, isolate y:

-8x + y = -6

y = 8x - 6

Now that you have solved for y, plug 8x - 6 into the y value of the second equation and solve for x:

16x + 2(8x-6) = 3

16x + 16x - 12 = 3

32x - 12 = 3

32x = 15

x = 15/32

Now that you have your x value, plug it into your first equation for x and solve for y:

-8(15/32) + y = -6

-15/4 + y = -6

y= -6 + 15/4

y= -9/4

Therefore, your final answer would be x = 15/32 and y = -9/2 or the point pair (15/32, -9/2).

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation:

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.