Question

1. Match each equation to the number of solutions it has.

One solution
No solution
Infinitely number of solutions
13 + 3b = 4(1 + 3b)
3 - 4k = 8 - 4k
4x + 12 = 4 + 2x

Answer 1

1 b=1

There are no solutions.

x=−4

Explanation:

Step 1: Simplify both sides of the equation.

13+3b=4(1+3b)

13+3b=(4)(1)+(4)(3b)(Distribute) 13+3b=4+12b

3b+13=12b+4

Step 2: Subtract 12b from both sides.

3b+13−12b=12b+4−12b

−9b+13=4

Step 3: Subtract 13 from both sides.

−9b+13−13=4−13

−9b=−9

Step 4: Divide both sides by -9.

−9b

−9

=

−9

−9

b=1