Question

How many solutions exist for the given equation?

3x + 13 = 3(x + 6) + 1

zero
one
two
infinitely many

Answer 1

Zero Solutions

Explanation:

Step 1: Simplify both sides of the equation.

3x+13=3(x+6)+1

3x+13=(3)(x)+(3)(6)+1(Distribute)

3x+13=3x+18+1

3x+13=(3x)+(18+1)(Combine Like Terms)

3x+13=3x+19

3x+13=3x+19

Step 2: Subtract 3x from both sides.

3x+13−3x=3x+19−3x

13=19

Step 3: Subtract 13 from both sides.

13−13=19−13

0=6

Answer:

There are no solutions.