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Max tried to solve 7v+19=2(10v+3)7v + 19 = 2(10v + 3):\newline7v+19=20v+37v + 19 = 20v + 3 {Step 11}\newline19=13v+319 = 13v + 3 {Step 22}\newline16=13v16 = 13v {Step 33}\newline1613=v\frac{16}{13} = v {Step 44}\newlineDid Max solve the equation correctly?\newline(A)Yes, Max solved the equation correctly.\newline(B)No, Max made a mistake in step 11. He didn't apply the distributive property correctly.\newline(C)No, Max made a mistake in step 22. He didn't combine the terms with vv on the left side of the equation.\newline(D)No, Max made a mistake in step 44. He didn't apply the division property of equality correctly.

Full solution

Q. Max tried to solve 7v+19=2(10v+3)7v + 19 = 2(10v + 3):\newline7v+19=20v+37v + 19 = 20v + 3 {Step 11}\newline19=13v+319 = 13v + 3 {Step 22}\newline16=13v16 = 13v {Step 33}\newline1613=v\frac{16}{13} = v {Step 44}\newlineDid Max solve the equation correctly?\newline(A)Yes, Max solved the equation correctly.\newline(B)No, Max made a mistake in step 11. He didn't apply the distributive property correctly.\newline(C)No, Max made a mistake in step 22. He didn't combine the terms with vv on the left side of the equation.\newline(D)No, Max made a mistake in step 44. He didn't apply the division property of equality correctly.
  1. Apply distributive property: Max starts by applying the distributive property to the right side of the equation: 7v+19=20v+67v + 19 = 20v + 6
  2. Subtract 7v7v: Next, Max subtracts 7v7v from both sides to isolate the terms with vv on one side:\newline19=13v+619 = 13v + 6
  3. Subtract 66: Max then subtracts 66 from both sides to simplify:\newline13=13v13 = 13v
  4. Divide by 1313: Finally, Max divides both sides by 1313 to solve for vv:v=1v = 1

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