Question

Which equation has no solution?

O 4(x + 3) + 2x = 6(x + 2)
O 5+2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
o 4 + 6(2 + x) = 2(3x + 8)

Answer 1

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Answer 2

Equation 3. has no solution.

Explanation:

1. 4(x + 3) + 2x = 6(x + 2)

4x+12+2x=6x +12,

6x+12=6x+12 There are infinitely solutions

2. 5+2(3 + 2x) = x + 3(x + 1)

5+6+4x=x+3x +3

11+4x=4x+3

11=3 (no solution)

3. 5(x + 3) + x = 4(x + 3) + 3

5x+15+x=4x+12+3

6x+15=4x+15

6x-4x=15-15

2x=0 x=0

4. 4 + 6(2 + x) = 2(3x + 8)

4+12+6x=6x+16

16+6x=6x+16 There are infinitely solutions.