Question

For each value of v, determine whether it is a solution to 10 =

8
-48
16
-72
40
Is it a solution?
Yes
O
No
O
X
5
+5.

Answer 1

Value of v Solution

-48 No (10 ≠ -38)

16 Yes (10 = 5 + 5)

-72 No (10 ≠ -62)

40 No (10 ≠ 45)

A solution to an equation is a value that makes the equation true when substituted for the variable. In this case, the equation is 10 = 5 + 5. We need to check if each value of v, when substituted for v, makes the equation true.

For v = -48, we get 10 ≠ -38 (not equal).

For v = 16, we get 10 = 10 (equal). Therefore, 16 is a solution.

For v = -72, we get 10 ≠ -62 (not equal).

For v = 40, we get 10 ≠ 45 (not equal).

Only 16 is a solution to the equation 10 = 5 + 5. The other values of v make the equation untrue when substituted.