Which of the following equations would have the solution of n = 22?

Question

A. n + 16 = 18 + 20
B. n - 15 = 7 + 15
C. 3n - 28 = 38 - 14
D. n + 16 = 38 - 15

Answer 1

C. 3n - 28 = 38 - 14

Let's solve for n:

3n - 28 = 38 - 14
3n - 28 = 24
3n = 52
n = 52/3
n = 17.33

Therefore, the solution n = 22 does not satisfy this equation.

Answer 2

Using substitution, which number from the set { 10, 15, 17, 20 } makes the equation 4y - 14 = 54 true?

Answer 3

Let's substitute each number from the set { 10, 15, 17, 20 } into the equation 4y - 14 = 54 and see which one makes the equation true.

1. For y = 10:
4(10) - 14 = 40 - 14 = 26 (not equal to 54)

2. For y = 15:
4(15) - 14 = 60 - 14 = 46 (not equal to 54)

3. For y = 17:
4(17) - 14 = 68 - 14 = 54 (equal to 54)

4. For y = 20:
4(20) - 14 = 80 - 14 = 66 (not equal to 54)

Therefore, the number 17 from the set { 10, 15, 17, 20 } makes the equation 4y - 14 = 54 true.

Answer 4

Using substitution, which number from the set { 4, 24, 32, 64 } makes the equation 1/4 x + 8 = 24 true?

Answer 5

Let's substitute each number from the set { 4, 24, 32, 64 } into the equation 1/4x + 8 = 24 and see which one makes the equation true.

1. For x = 4:
1/4(4) + 8 = 1 + 8 = 9 (not equal to 24)

2. For x = 24:
1/4(24) + 8 = 6 + 8 = 14 (not equal to 24)

3. For x = 32:
1/4(32) + 8 = 8 + 8 = 16 (not equal to 24)

4. For x = 64:
1/4(64) + 8 = 16 + 8 = 24 (equal to 24)

Therefore, the number 64 from the set { 4, 24, 32, 64 } makes the equation 1/4x + 8 = 24 true.