Question
For each value of v , determine whether it is a solution to 3 v-8=22 multirow(2)(}{ v ) & multicolumn(2)(|c|)( Is it a solution? ) cline ( 2 - 3 ) & Yes & No 10 & & 0 & & 8 & & -9 & &
Solution
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HankVeteran · Tutor for 10 years
Answer
### For \( v = 10 \), Yes; For \( v = 0 \), No; For \( v = 8 \), No; For \( v = -9 \), No.
Explain
## Step 1: Understand the Equation<br />### The equation given is \(3v - 8 = 22\). We need to determine if each value of \(v\) satisfies this equation.<br /><br />## Step 2: Solve for \(v\)<br />### To find the solution, solve the equation for \(v\):<br />\[<br />3v - 8 = 22<br />\]<br />Add 8 to both sides:<br />\[<br />3v = 30<br />\]<br />Divide both sides by 3:<br />\[<br />v = 10<br />\]<br /><br />## Step 3: Check Each Value<br />### Now, check each provided value of \(v\) to see if it satisfies the equation:<br /><br />- **For \(v = 10\):**<br /> \[<br /> 3(10) - 8 = 30 - 8 = 22<br /> \]<br /> This is true, so \(v = 10\) is a solution.<br /><br />- **For \(v = 0\):**<br /> \[<br /> 3(0) - 8 = 0 - 8 = -8<br /> \]<br /> This is not equal to 22, so \(v = 0\) is not a solution.<br /><br />- **For \(v = 8\):**<br /> \[<br /> 3(8) - 8 = 24 - 8 = 16<br /> \]<br /> This is not equal to 22, so \(v = 8\) is not a solution.<br /><br />- **For \(v = -9\):**<br /> \[<br /> 3(-9) - 8 = -27 - 8 = -35<br /> \]<br /> This is not equal to 22, so \(v = -9\) is not a solution.
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