Solve each system by substitution. 1.) 7x+21-23
6x+y= 14

2.) y=-4
y=-3x-10

3.) y=-3x+8
y=5x-16

1) (x, y) = (1, 8)

2) (x, y) =(-2, -4)

3) (x, y) = (3, -1)

Step-by-step explanation:

1) Given the equations;

7x+2y =23   1

6x+y= 14   2

From 2; y = 14-6x

Substitute into 1;

From 1; 7x+2y =23

7x + 2(14-6x) = 23

7x + 28 - 12x = 23

-5x = 23 - 28

-5x = -5

x = 5/5

x = 1

Substitute x = 1 into y = 14-6x

y = 14 - 6 (1)

y - 14 - 6

y = 8

Hence (x, y) = (1, 8)

2) Given

y=-4

y=-3x-10

We will simply equate bith expression and get x;

-3x - 10 = -4

-3x = -4 + 10

-3x = 6

x = 6/-3

x = -2

Hence the solution is (-2, -4)

3) Given the equation

y=-3x+8

y=5x-16

Equate both expressions;

-3x + 8 = 5x - 16

-3x - 5x = -16 - 8

-8x = -24

x = 24/8

x = 3

Substitute x = 3 into y=-3x+8

y = -3(3) + 8

y = -9 + 8

y = -1

Hence the solution (x, y) = (3, -1)

you would need to also lose 1 point for each of the other outcomes for it to be fair.

step-by-step explanation:

both the histogram and the stem and leaf plot will visually show how many shoppers were of various ages within each range of data.   the histogram does not give us the specific ages of these shoppers unlike the stem and leaf plot.a histogram does not give us a true range of the data because we do not know exactly how old the shoppers were. a stem and leaf plot will give exact ages, so we can determine the exact range along with all measures of center and the others measures of center.   with the histogram, we cannot find any of these.

step-by-step explanation: