Question

Tell whether each equation has one solution, infinitely many solutions, or no solution.

a. 6x + 8 = 6(x + 2)
b. 10x = 15 + 5x
c. x + 11 = 8x + 11 - 7x

Answer 1

a- no solutions

b- one solution

c- no solution

Explanation:

6x+8=6(x+2)

Step 1: Simplify both sides of the equation.

6x+8=6(x+2)

6x+8=(6)(x)+(6)(2) (Distribute)

6x+8=6x+12

Step 2: Subtract 6x from both sides.

6x+8−6x=6x+12−6x

8=12

Step 3: Subtract 8 from both sides.

8−8=12−8

0=4

So the answer is no solution.