QUESTION IMAGE
Question
for each value of v, determine whether it is a solution to v + 25 = 32.
| v | is it a solution? | |
|---|---|---|
| 5 | ∘ (yes) | ∘ (no) |
| 12 | ∘ (yes) | ∘ (no) |
| 7 | ∘ (yes) | ∘ (no) |
To determine if a value of \( v \) is a solution to \( v + 25 = 32 \), we substitute each value of \( v \) into the equation and check if the left - hand side (LHS) equals the right - hand side (RHS). The RHS of the equation is 32.
Step 1: For \( v = 57 \)
Substitute \( v = 57 \) into the left - hand side of the equation \( v+25 \).
We get \( 57 + 25=82 \).
Since \( 82
eq32 \), \( v = 57 \) is not a solution.
Step 2: For \( v = 5 \)
Substitute \( v = 5 \) into the left - hand side of the equation \( v + 25 \).
We get \( 5+25 = 30 \).
Since \( 30
eq32 \), \( v = 5 \) is not a solution.
Step 3: For \( v = 12 \)
Substitute \( v = 12 \) into the left - hand side of the equation \( v + 25 \).
We get \( 12+25=37 \).
Since \( 37
eq32 \), \( v = 12 \) is not a solution.
Step 4: For \( v = 7 \)
Substitute \( v = 7 \) into the left - hand side of the equation \( v + 25 \).
We get \( 7 + 25=32 \).
Since \( 32 = 32 \), \( v = 7 \) is a solution.
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- For \( v = 57 \): No
- For \( v = 5 \): No
- For \( v = 12 \): No
- For \( v = 7 \): Yes