Question

These equations take their y-values from the set {4, 5, 6, 7, 8}. Arrange the equations in decreasing order of the values of y that make them true.
(2y + 3) − 4 = 9
4y − y + 1 = 13
4y + (y − 1) = 29

Answer 1

Answer:

4y + (y − 1) = 29

(2y + 3) − 4 = 9

4y − y + 1 = 13

Step-by-step explanation:

We will have to check each equation for the given values of y.

So,

1. (2y + 3) − 4 = 9

For y=4

[2(4)+3]-4=9

(8+3)-4=9

11-4=9

7=9

Not true for 4

For y=5

[2(5)+3]-4=9

(10+3)-4=9

13-4=9

9=9

True for 5

2. 4y − y + 1 = 13

For y=4

4(4)-4+1=13

16-4+1=13

13=13

True for 4

3. 4y + (y − 1) = 29

As we have already used 4 and 5 we will check for 6 and onwards

For y=6

6(4)+(6-1)=29

24+5=29

29=29

So the equations in decresing order of y that make them true are:

4y + (y − 1) = 29

(2y + 3) − 4 = 9

4y − y + 1 = 13 ..

Answer 2

Answer:

The equations in decreasing order of y that make them true are:

4y + (y − 1) = 29, because y = 6

(2y + 3) − 4 = 9, because y = 5

4y − y + 1 = 13, because y = 4