Which of the following equations would have the solution of n=22?(1 point)
Responses
n+16=38−15
n plus 16 equals 38 minus 15
n+16=18+20
n plus 16 equals 18 plus 20
3n−28=38−14
3 n minus 28 equals 38 minus 14
n−15=7+15
Which of the following equations would have the solution of n = 22? (1 point)
I meant D = n + 16 = 18 + 20
Which of the following equations would have the solution of n = 22? (1 point)
C = n + 16 = 38 − 15
To find the equation with the solution n=22, we can substitute 22 for n in each option and see which equation is true.
1. n + 16 = 38 - 15
Substituting n=22: 22 + 16 = 38 - 15
38 = 38 (True)
2. n + 16 = 18 + 20
Substituting n=22: 22 + 16 = 18 + 20
38 = 38 (True)
3. 3n - 28 = 38 - 14
Substituting n=22: 3(22) - 28 = 38 - 14
66 - 28 = 24 (False)
4. n - 15 = 7 + 15
Substituting n=22: 22 - 15 = 7 + 15
7 = 22 (False)
So, the correct equation is n + 16 = 38 - 15.
To find the equation that has the solution n=22, we need to substitute 22 for n in each equation and see which one gives a true statement.
Let's check each equation:
1) n+16=38−15
Substituting n=22, we have:
22 + 16 = 38 - 15
Calculating the left-hand side:
22 + 16 = 38
Calculating the right-hand side:
38 - 15 = 23
The left-hand side (38) is not equal to the right-hand side (23), so this equation is not true when n=22.
2) n+16=18+20
Substituting n=22, we have:
22 + 16 = 18 + 20
Calculating the left-hand side:
22 + 16 = 38
Calculating the right-hand side:
18 + 20 = 38
Both sides are equal (38 = 38), so this equation is true when n=22.
3) 3n−28=38−14
Substituting n=22, we have:
3 * 22 - 28 = 38 - 14
Calculating the left-hand side:
66 - 28 = 38
Calculating the right-hand side:
38 - 14 = 24
The left-hand side (38) is not equal to the right-hand side (24), so this equation is not true when n=22.
4) n−15=7+15
Substituting n=22, we have:
22 - 15 = 7 + 15
Calculating the left-hand side:
7
Calculating the right-hand side:
7 + 15 = 22
Both sides are equal (7 = 22), so this equation is false when n=22.
Therefore, the only equation that has the solution n=22 is n+16=18+20.