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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EmiliaProfessional · Tutor for 6 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 />### We need to determine if each value of \( v \) satisfies the equation \( 3v - 8 = 22 \).<br /><br />## Step 2: Solve for \( v = 10 \)<br />### Substitute \( v = 10 \) into the equation: <br />\[<br />3(10) - 8 = 30 - 8 = 22<br />\]<br />### Since the left-hand side equals the right-hand side, \( v = 10 \) is a solution.<br /><br />## Step 3: Solve for \( v = 0 \)<br />### Substitute \( v = 0 \) into the equation:<br />\[<br />3(0) - 8 = 0 - 8 = -8<br />\]<br />### The left-hand side does not equal the right-hand side, so \( v = 0 \) is not a solution.<br /><br />## Step 4: Solve for \( v = 8 \)<br />### Substitute \( v = 8 \) into the equation:<br />\[<br />3(8) - 8 = 24 - 8 = 16<br />\]<br />### The left-hand side does not equal the right-hand side, so \( v = 8 \) is not a solution.<br /><br />## Step 5: Solve for \( v = -9 \)<br />### Substitute \( v = -9 \) into the equation:<br />\[<br />3(-9) - 8 = -27 - 8 = -35<br />\]<br />### The left-hand side does not equal the right-hand side, so \( v = -9 \) is not a solution.
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